Grade 7Mathmedium

Shopping and Savings

Shopping and Savings — Ratios & Proportions worksheet for Grade 7.

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Grade 7 Ratios & Proportions Worksheet - 10 Problems

What Your Child Will Learn

Solve proportion problems to calculate unit prices and compare shopping deals for multiple items
Apply ratios to determine original prices and savings amounts from given discount percentages in shopping scenarios
Use cross-multiplication to verify proportional relationships between quantities and costs on a medium-difficulty worksheet
Interpret results from shopping proportion problems to decide which purchase offers the best value

How to Use This Worksheet

Step 1: Preview the worksheet together and highlight key shopping terms such as 'discount', 'unit price', and 'total savings' in the first two problems
Step 2: Guide the student to set up each proportion using the given prices and quantities, then solve using cross-multiplication
Step 3: Have the student complete problems 3-6 independently, checking that each answer shows realistic savings for the described purchase
Step 4: Review problems 7-10 as a discussion, comparing how different ratios lead to different best-value choices

Tips for Parents & Teachers

Watch for students mixing up part-to-whole ratios with part-to-part when calculating sale savings; have them label each number in the proportion with shopping terms like 'sale price' or 'original price'

Common error is skipping the check step after solving; require students to plug answers back into the shopping context to confirm the savings make sense

If students struggle with multi-step problems involving two stores, break the worksheet into pairs of related questions and discuss how the proportions connect

Frequently Asked Questions

How do I help my seventh grader set up a proportion when a store offers 'buy 2 get 1 free' on items with different regular prices?

Start by writing the ratio of items bought to items received as 3 to 2, then create a second ratio using the actual prices paid versus the full cost; solve for the unknown savings amount.

What should I do if my child keeps getting different answers when comparing two stores' prices using proportions?

Remind them to keep the units consistent on both sides of the proportion (for example, dollars per item on top and items on the bottom) and to check the final answer against an estimate of which store should be cheaper.

How can proportions help students understand why a 25% off sale might not always be the best deal?

By setting up a proportion that compares the sale price to the original price across different items, students can calculate the actual dollars saved and see that a smaller percentage off a higher-priced item can sometimes save more money.

What common mistake occurs when students solve for the original price given only the sale price and discount percent?

They often set the proportion as sale/original = percent/100 instead of sale/original = (100 - percent)/100; practicing with a simple $20 item at 25% off quickly shows the correct setup.