PSLE Luis and Zane have the same total number of coins. Luis has a number of fifty-cent coins and 60 five-cent coins. The total mass of his coins is 0.885 kg. Zane has a number of fifty-cent coins and 120 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 3.1 g heavier than each five-cent coin. What is the total mass of Zane's coins in kg?
(a)
Since Luis has less five-cent coins than Zane but both had the same number of coins, Luis had more money.
Both boys have the same number of coins. Since Luis has less five-cent coins than Zane, it means that Luis has more fifty-cent coins than Zane. So Luis has more money.
Difference in the number of five-cent coins.
= 120 - 60
= 60
Difference in the value of 1 five-cent coin and 1 fifty-cent coin
= 50 - 5
= 45¢
Amount that Luis had more than Zane
= 60 x 45
= 2700¢
= $27
(b)
Difference in the mass between 60 five-cent coins and 60 fifty-cent coins
= 60 x 3.1
= 186 g
= 0.186 kg
Total mass of Zane's coins
= 0.885 - 0.186
= 0.699 kg
Answer(s): (a) Luis, $27; (b) 0.699 kg