PSLE Caden and Peter have the same total number of coins. Caden has a number of fifty-cent coins and 60 ten-cent coins. The total mass of his coins is 0.494 kg. Peter has a number of fifty-cent coins and 120 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 1.3 g heavier than each ten-cent coin. What is the total mass of Peter's coins in kg?
(a)
Since Caden has less ten-cent coins than Peter but both had the same number of coins, Caden had more money.
Both boys have the same number of coins. Since Caden has less ten-cent coins than Peter, it means that Caden has more fifty-cent coins than Peter. So Caden has more money.
Difference in the number of ten-cent coins.
= 120 - 60
= 60
Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢
Amount that Caden had more than Peter
= 60 x 40
= 2400¢
= $24
(b)
Difference in the mass between 60 ten-cent coins and 60 fifty-cent coins
= 60 x 1.3
= 78 g
= 0.078 kg
Total mass of Peter's coins
= 0.494 - 0.078
= 0.416 kg
Answer(s): (a) Caden, $24; (b) 0.416 kg