Tape Diagrams and Algebraic Expressions

Find the value of x.

• 6

• 3

The ratio of the number of Hope’s lollipops to the number of Will’s lollipops is 3:4. If Will has 28 lollipops, how many lollipops does Hope have?

5. The ratio of girls to boys that participated in the music contest was 7:3. There were 77 girls. How many boys participated?

If there are 120 boys in the group, how many boys and girls are there TOTAL?  Use the tape diagrams to solve.

In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a 15 blue jolly ranchers, how many are red jolly ranchers are there in the bag?

What is the ratio of COOKIES to BROWNIES shown in the tape diagram?

The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?

The ratio of sweaters to vests is 6:5. If there are 30 vests, how many sweaters are there? Use the tape diagram to find your answer.

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

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