Question

Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3. Alex receives 20 more sweets than Chris. Work out the number of sweets Chris receives.

Answer 1

SOLUTION

GIVEN

• Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3.

• Alex receives 20 more sweets than Chris.

TO DETERMINE

The number of sweets Chris receives.

EVALUATION

Here it is given that Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3

Let Alex receives 7x sweets and Chris receives 3x sweets

Now it is given that Alex receives 20 more sweets than Chris.

So by the given condition

$\sf{7x - 3x = 20}$

$\sf{ \implies \: 4x = 20}$

$\sf{ \implies \: x = 5}$

Hence the required number of sweets Chris receives

= 3 × 5

= 15

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