Ratios and Tape Diagrams

A bag of trail mix has a raisins and peanuts in a ratio of 3 to 5. If there are 30 raisins in the bag, how many peanuts are in the bag?

• 30 peanuts

• 6 peanuts

• 18 peanuts

• 50 peanuts

A recipe for chocolate fudge calls for 14 ounces of sweetened condensed milk for every 3 cups chocolate chips. If Susan has 42 ounces of sweetened condensed milk, how many cups of chocolate chips does she need?

• 3 cups of chocolate chips

• 14 cups of chocolate chips

• 9 cups of chocolate chips

• 4 cups of chocolate chips

Fitness instructors recommend a workout of both cardio and strength training at a ratio of 7 to 5 minutes. If Mrs. Carta works out for 60 minutes, how much of that time should be for cardio?

• 25 minutes of cardio

• 35 minutes of cardio

• 12 minutes of cardio

• 84 minutes of cardio

A car dealership has both new and used vehicles on their lot. For every 7 used cars they sold last month, they sold 4 new cars. If they sold 21 more used cars than new cars, how many new cars did they sell last month?

• 28 new cars

• 4 new cars

• 12 new cars

• 21 new cars

Last year, the ratio of boys to girls in chorus was 2:3. More boys decided to sign up this year because now the ratio of boys to girls is 3:5. If there are 21 boys in chorus this year, how many boys were in chorus last year?

• 7

• 21

• 14

• 35

A hair stylist mixes hair dye color to find the perfect shade for their clients. Stephanie mixed 5 parts light brown with 1 part golden blond for her client, Miranda. A few months later, Miranda returned and requested more blond. Stephanie mixed 3 parts light brown with 2 parts golden blond. If Stephanie used 4 ounces of golden blond at Miranda's 2nd visit, how many ounces of golden blond did she use at Miranda's 1st visit?

• 4

• 2

• 6

• 10

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

• 6/4

• 4/6

• 1/3

• 10/16

Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 

• 3:5

• 1:3

• 3:11

• 3:10

If the ratio of boys to girls is 5:7, and there are 35 girls, how many boys are there?

• 30

• 25

• 5

• 10

If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.

• 4

• 30

• 70

• 40