PSLE Neave and Albert have the same total number of coins. Neave has a number of twenty-cent coins and 42 ten-cent coins. The total mass of his coins is 0.903 kg. Albert has a number of twenty-cent coins and 62 ten-cent coins.
- Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
- Each twenty-cent coin is 1.3 g heavier than each ten-cent coin. What is the total mass of Albert's coins in kg?
(a)
Since Neave has less ten-cent coins than Albert but both had the same number of coins, Neave had more money.
Both boys have the same number of coins. Since Neave has less ten-cent coins than Albert, it means that Neave has more twenty-cent coins than Albert. So Neave has more money.
Difference in the number of ten-cent coins.
= 62 - 42
= 20
Difference in the value of 1 ten-cent coin and 1 twenty-cent coin
= 20 - 10
= 10¢
Amount that Neave had more than Albert
= 20 x 10
= 200¢
= $2
(b)
Difference in the mass between 20 ten-cent coins and 20 twenty-cent coins
= 20 x 1.3
= 26 g
= 0.026 kg
Total mass of Albert's coins
= 0.903 - 0.026
= 0.877 kg
Answer(s): (a) Neave, $2; (b) 0.877 kg