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Ratios and Sustainability Worksheet

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Ratios and Sustainability Worksheet

Solve each sustainability challenge. Write ratios in the order named, simplify when asked, and show your thinking for word problems.

Ratios on the Ground

Use the garden and recycling examples to help the Green Team plan.

1.The garden has 8 tomato plants and 12 pepper plants. What is the ratio of tomato plants to pepper plants in simplest form?

2.The team sorts 3 cardboard boxes for every 5 plastic containers. Which ratios are equivalent to 3:5? Select all that apply.

6:10
9:15
5:3
12:20

3.A recycling drive collects cans and bottles in the ratio 4:7. If it collects 28 cans, how many bottles should it collect to keep the same ratio?

4.The compost recipe uses 2 buckets of dry leaves for every 3 buckets of food scraps. There are 15 buckets of food scraps. How many buckets of dry leaves are needed?

Plan and Compare

Use equivalent ratios and careful comparisons to help the team choose practical plans.

5.A solar crew installs 6 panels in 2 hours. At the same rate, how many panels can it install in 5 hours? Include the unit rate in your answer.

Garden beds

Seedling trays

___

6.Complete the garden seedling plan above. How many trays are needed for 4 beds and for 10 beds?

7.A town has 9 electric buses for every 15 gas-powered buses. Simplify the ratio of electric buses to gas-powered buses.

8.Neighborhood A uses 3 renewable-energy units for every 5 nonrenewable-energy units. Neighborhood B uses 4 renewable-energy units for every 5 nonrenewable-energy units. Which neighborhood has the greater ratio of renewable to nonrenewable energy? Explain.

9.True or false: The ratios 6 reusable bottles to 4 disposable bottles and 9 reusable bottles to 6 disposable bottles are equivalent. Explain briefly.

10.The Green Team has 24 reusable cups and 18 students. Write the ratio of cups to students in simplest form. Then state how many cups each student would get if shared equally.