4MA0 Foundation June 2017 Paper 1 Q12
12 Michael, Julie and Alison went to eat in a restaurant.
The total cost of their meals was $120
Michael paid \(\dfrac{1}{6}\) of the total cost.
Julie paid 35% of the total cost.
Alison paid the rest of the total cost.
Work out how much Alison paid.
(4)
| Scheme | Marks |
|---|---|
| 120 ÷ 6 oe or 20 | M1 |
| \(\dfrac{35}{100} \times 120\) oe or 42 | M1 |
| 120 − (“20” + “42”) | M1 |
| 58 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for \(\dfrac{1}{6} \times 120\) oe or 20
accept use of 0.16(6…) rounded or truncated to 2 or more sig figs
M1: (indep)
for 0.35 × 120 oe or 42
M1: (dep on M2)
for 120 − (“20” + “42”)
A1: SC: If answer is not 58 then award B3 for an answer of 57.6 − 58.8
Alternative method
| Scheme | Marks |
|---|---|
16.6..(%) + 35(%) (=51.6..(%)) or \(\dfrac{1}{6} + \dfrac{35}{100}\left(= \dfrac{31}{60}\right)\) | M1 |
“0.516…” × 120 oe (=62) or 1 − “0.516”… (=0.483…) or 100(%) − “51.6…”(%) = 48.3…(%) or \(1 - \text{“}\tfrac{31}{60}\text{”} = \dfrac{29}{60}\) | M1 |
| 120 − “62” or “0.483..” × 120 oe or \(\text{“}\tfrac{29}{60}\text{”} \times 120\) | M1 |
| 58 | A1 |
Notes
M1: NB. Could work in percentages or fractions or decimals;
throughout accept 16.6… (and other decimals) rounded or truncated to 2 or more sig figs
A1: SC: If answer is not 58 then award B3 for an answer of 57.6 − 58.8