PSLE Daniel and Brandon have the same total number of coins. Daniel has a number of fifty-cent coins and 59 five-cent coins. The total mass of his coins is 1.121 kg. Brandon has a number of fifty-cent coins and 99 five-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 five-cent coin. What is the total mass of Brandon's coins in kg?
(a)
Since Daniel has less five-cent coins than Brandon but both had the same number of coins, Daniel had more money.
Both boys have the same number of coins. Since Daniel has less five-cent coins than Brandon, it means that Daniel has more fifty-cent coins than Brandon. So Daniel has more money.
Difference in the number of five-cent coins.
= 99 - 59
= 40
Difference in the value of 1 five-cent coin and 1 fifty-cent coin
= 50 - 5
= 45¢
Amount that Daniel had more than Brandon
= 40 x 45
= 1800¢
= $18
(b)
Difference in the mass between 40 five-cent coins and 40 fifty-cent coins
= 40 x 3.8
= 152 g
= 0.152 kg
Total mass of Brandon's coins
= 1.121 - 0.152
= 0.969 kg
Answer(s): (a) Daniel, $18; (b) 0.969 kg