PSLE
Albert and Ethan have the same total number of coins. Albert has a number of fifty-cent coins and 54 ten-cent coins. The total mass of his coins is 0.585 kg. Ethan has a number of fifty-cent coins and 74 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 1.3 g heavier than each ten-cent coin. What is the total mass of Ethan's coins in kg?

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

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

Difference in the number of ten-cent coins.
= 74 - 54
= 20

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

Amount that Albert had more than Ethan
= 20 x 40
= 800¢
= $8

(b)
Difference in the mass between 20 ten-cent coins and 20 fifty-cent coins
= 20 x 1.3
= 26 g
= 0.026 kg

Total mass of Ethan's coins
= 0.585 - 0.026
= 0.559 kg

Answer(s): (a) Albert, $8; (b) 0.559 kg