The ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 477 more students than adults at the prom. If the school is expecting the same attendance this year, how many adults have to attend the prom?

Extra Credit Problems written by students

Period #1:

1.For every 14 red skittles, there are 5 green skittles. There are 108 more red skittles than green skittles. How many green skittles are there? ______________________ 

2.    A combination of fertilizer and seeds are combined to grow a tree. The ratio of fertilizer to seeds is 6:4. The total amount of fertilizer and seeds is 240. How much of each do you need? ____________________ 

Period #2

1.       A boy buys a bag of marbles.  He finds out there are 10 red marbles for every 7 green marbles.  If there are 154 green marbles, how many red marbles are there?  _______________________________

2.      Mrs. Davis has 4 apples for every 1 banana.  If she has 90 more apples than bananas, how many bananas do they have?  ______________

Period #3

1.       Two kids want to make a batch of cookies.  They need 4 cups of flour for every 8 cups of chocolate chips.  The total cups of flour and chocolate chips are 240.   How many cups of chocolate chips were there?  ____________

2.      On the freeway, there were 4 pickups for every 9 cars.  There were 115 more cars than pickups.  How many pickups were there?  ________________

Period #5

1.      The ratio of red to black licorice is 7:3.  There are 80 more red licorice pieces than black.  How many red licorice pieces are there?  ________________

2.      At soccer practice, the ratio of shots John made to the shots he missed is 15:10.  If John made 60 shots, how many did he miss?  ______________

Period #6

1.      The number of normal houses to haunted houses is 7:5.  There are 260 more normal houses than haunted houses.  How many haunted houses are there?______

2.      Ashley and Emily are selling Girl Scout cookies.   For every 7 that Ashley sells, Emily sells 3.  If they sell 210 boxes altogether, how many did the each girl sell?_______

The Business Direct Hotel caters to people who travel for different types of business trips. On Saturday night there is not a lot of business travel, so the ratio of the number of occupied rooms to the number of unoccupied rooms is 2:5. However, on Sunday night the ratio of the number of occupied rooms to the number of unoccupied rooms is 6:1 due to the number of business people attending a large conference in the area. If the Business Direct Hotel has 432 occupied rooms on Sunday night, how many unoccupied rooms does it have on Saturday night?

What happens if the original problem is changed so that the Saturday night ratio doesn't have the same amount of total parts as the Sunday night ratio:

The Business Direct Hotel caters to people who travel for different types of business trips. On Saturday night there is not a lot of business travel, so the ratio of the number of occupied rooms to the number of unoccupied rooms is 3:5. However, on Sunday night the ratio of the number of occupied rooms to the number of unoccupied rooms is 6:1 due to the number of business people attending a large conference in the area. If the Business Direct Hotel has 432 occupied rooms on Sunday night, how many unoccupied rooms does it have on Saturday night?

A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were way more popular than scooters, so the store changed its next order. The new ratio of the number of bikes ordered to the number of scooters ordered was 5:2. If the same amount of sporting equipment was ordered in both orders and 64 scooters were ordered originally, how many bikes were ordered as part of the new order?

HW:  Math Menu #2

1.  Jeanette wants to save money, but she has not been good at it in the past. The ratio of the amount of money in Jeanette’s savings account to the amount of money in her checking account was 1:6. Because Jeanette is trying to get better at saving money, she moves some money out of her checking account and into her savings account. Now, the ratio of the amount of money in her savings account to the amount of money in her checking account is 4:3. If Jeanette had $936 in her checking account before moving money, how much money does Jeanette have in each account after moving money?  

2.     A mixture of vanilla to chocolate in swirl ice cream is 20:11.  In the factory, there is 108 more vanilla teaspoons than chocolate in the swirl mixture.  How many teaspoons are chocolate?

3.  Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7:1. If the same number of boys and girls were surveyed and 90 boys enjoy soccer, how many girls enjoy each sport?

4.  Daniel and Marcus collect beads.  For every 7 beads that Marcus has, Daniel has 13.  If Daniel has 162 more than Marcus, how many does Marcus have?

5.  Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem and many trees died. New trees were planted to make sure there was the same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the bug problem? Explain. 

Class-written Quiz Questions

Today, the table groups wrote the quiz questions for Friday's quiz.  Many excellent questions were written.  For the quiz, some questions were changed a little to make the questions clearer.  Here they are:

Alyssa's extended family is staying at the lake house this weekend for a family reunion. She is in charge of making pancakes for the entire group. The pancake requires 2 cups of flour for every 10 pancakes. If Alyssa has to make 70 pancakes, how many cups of flour will she have to use?  

Oops, not enough people showed up, and now she only needs to make 45 pancakes. How much flour?

Sammy and Kaden went fishing using live shrimp as bait. Sammy bought 8 more shrimp than Kaden brought. When they combined their shrimp they had 32 shrimp altogether.

a. How many did each boy bring?

b. What is the ratio of the number of shrimp Sammy brought to the number of shrimp Kaden brought?

c. What is the ratio of the number of Sammy's shrimp to the total number of shrimp?

d. Express Sammy's shrimp as a fraction.

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