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Find the Whole Proportionally

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Find the Whole Proportionally

Work out the whole when you know a fraction, decimal or percentage of it. Show your thinking for written questions. You may use equivalent fractions, a unitary method or a percentage strategy.

Find the Whole

1.A number has 70% of its value equal to 28. What is the number?

2.Three-fifths of a quantity is 27. What is the whole quantity?

3.Four-sevenths of a number is 24. What is the number?

4.Which is the greater amount: 30% of $90 or 0.4 of $65? Show a calculation for each amount and state the difference.

Show Your Proportional Thinking

5.45% of a number is 36. Find the whole number and show how you worked it out.

6.Five-sixths of a quantity is 40. Calculate the whole quantity.

7.35% of a number is 21. Work out the number.

8.A jacket is on sale for $54, which is 60% of its original price. What was the original price?

Apply and Explain

9.At a sports day, three-eighths of the children choose the relay race. If 21 children choose the relay, how many children are at the sports day altogether?

10.A community hall has sold 72% of its seats for a show. Those sales account for 288 seats. How many seats are in the hall? Explain how you know your answer is reasonable.