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could you use your equation(s) to nd the missing value in

How

of the following?

each

x 3 =

96 8

how converting a ratio represented as a fraction to a

Explain

involves a proportion.

percentage

the missing value in each of these proportions. Round your

Find

to the nearest hundredth where necessary.

answers

12 ,

8x = 264

x = 33

x 5 =

17 ,

9

9x = 5 × 17

9x = 85

x = 9.4

x 5 =

17 9

a proportion, the products of the quantities

In

each diagonal are equivalent.

on

a proportion, the products of the quantities

In

each diagonal are equivalent.

on

Reect and discuss Reect and discuss 88

m

2.4 8.4

75

=

=

11

165

x

20.5

Example 3

Q

8

12

a =

b

x

22

8

A

a If =

x

22

then 8x = 12 × 22

Simplify the right-hand side

8 x

264

Solve the equation by dividing each side by 8.

=

8

8

The missing value is 33.

b If

then

Simplify the right-hand side

9 x

85

=

Solve the equation by dividing each side by 9.

9

9

The missing value is approximately 9.44.

1 Ratios and proportions

22

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