PSLE Asher and Ryan have the same total number of coins. Asher has a number of fifty-cent coins and 40 ten-cent coins. The total mass of his coins is 1.339 kg. Ryan has a number of fifty-cent coins and 100 ten-cent coins.
- Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
- Each fifty-cent coin is 3.8 g heavier than each ten-cent coin. What is the total mass of Ryan's coins in kg?
(a)
Since Asher has less ten-cent coins than Ryan but both had the same number of coins, Asher had more money.
Both boys have the same number of coins. Since Asher has less ten-cent coins than Ryan, it means that Asher has more fifty-cent coins than Ryan. So Asher has more money.
Difference in the number of ten-cent coins.
= 100 - 40
= 60
Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢
Amount that Asher had more than Ryan
= 60 x 40
= 2400¢
= $24
(b)
Difference in the mass between 60 ten-cent coins and 60 fifty-cent coins
= 60 x 3.8
= 228 g
= 0.228 kg
Total mass of Ryan's coins
= 1.339 - 0.228
= 1.111 kg
Answer(s): (a) Asher, $24; (b) 1.111 kg