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Proportional Reasoning Challenge
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Proportional Reasoning Challenge
Solve each problem and show your working. Use a ratio table, equation or diagram where it helps. Include units in your answers.
Warm-up
1.A smoothie uses 2 scoops of yoghurt for every 7 scoops of fruit. How many scoops of fruit are needed for 8 scoops of yoghurt?
2.A sports club has 5 junior members for every 3 senior members. If there are 45 junior members, how many senior members are there?
3.A pair of shoes costs $120 before a sale. The shop takes 15% off. What is the sale price?
- $18
- $102
- $105
- $115
Fundraiser Challenge
A fundraiser sells muffins, fruit cups and juice boxes in the ratio 3:2:4. One muffin costs $4, one fruit cup costs $3, and one juice box costs $2.
4.For one complete group of 3 muffins, 2 fruit cups and 4 juice boxes, calculate the total money raised.
5.The fundraiser raises $312, with every item sold in the stated ratio. How many muffins, fruit cups and juice boxes were sold? Show how you know.
6.If the fundraiser aims to raise $520 next time and keeps the same item ratio and prices, how many of each item must it sell?
Strategy Check
7.One group contains 3 muffins, 2 fruit cups and 4 juice boxes. How many items are in 7 such groups altogether?
8.A student says that 20% of $75 is $15. Is the student correct? Show a calculation to support your answer.
2 printable pages
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