PSLE
Paul and Charlie have the same total number of coins. Paul has a number of fifty-cent coins and 35 ten-cent coins. The total mass of his coins is 1.743 kg. Charlie has a number of fifty-cent coins and 95 ten-cent coins.

1. Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
2. Each fifty-cent coin is 3.2 g heavier than each ten-cent coin. What is the total mass of Charlie's coins in kg?

(a)
Since Paul has less ten-cent coins than Charlie but both had the same number of coins, Paul had more money.

Both boys have the same number of coins. Since Paul has less ten-cent coins than Charlie, it means that Paul has more fifty-cent coins than Charlie. So Paul has more money.

Difference in the number of ten-cent coins.
= 95 - 35
= 60

Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢

Amount that Paul had more than Charlie
= 60 x 40
= 2400¢
= $24

(b)
Difference in the mass between 60 ten-cent coins and 60 fifty-cent coins
= 60 x 3.2
= 192 g
= 0.192 kg

Total mass of Charlie's coins
= 1.743 - 0.192
= 1.551 kg

Answer(s): (a) Paul, $24; (b) 1.551 kg