PSLE
Elijah and Jenson have the same total number of coins. Elijah has a number of ten-cent coins and 32 five-cent coins. The total mass of his coins is 0.944 kg. Jenson has a number of ten-cent coins and 92 five-cent coins.

1. Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
2. Each ten-cent coin is 1.1 g heavier than each five-cent coin. What is the total mass of Jenson's coins in kg?

(a)
Since Elijah has less five-cent coins than Jenson but both had the same number of coins, Elijah had more money.

Both boys have the same number of coins. Since Elijah has less five-cent coins than Jenson, it means that Elijah has more ten-cent coins than Jenson. So Elijah has more money.

Difference in the number of five-cent coins.
= 92 - 32
= 60

Difference in the value of 1 five-cent coin and 1 ten-cent coin
= 10 - 5
= 5¢

Amount that Elijah had more than Jenson
= 60 x 5
= 300¢
= $3

(b)
Difference in the mass between 60 five-cent coins and 60 ten-cent coins
= 60 x 1.1
= 66 g
= 0.066 kg

Total mass of Jenson's coins
= 0.944 - 0.066
= 0.878 kg

Answer(s): (a) Elijah, $3; (b) 0.878 kg