Question

Cheryl finds a bag containing 50 coins. The value of the coins is £1.81. If the bag only contains two-pence and five-pence coins, how many more five-pence coins are there than two-pence coins?

Answer 1

4

Explanation:

2 p= x, 5 p= y, total = £1.81= 181 p

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• x+y=50 ⇒ x=50-y

• 2x+5y=181 ⇒ 2(50-y)+5y=181 ⇒100+3y=181 ⇒ 3y=81 ⇒ y=27

• x=50-y=50-27=23

27-23=4 more 5 p coins