Foundation November 2017 Paper 2 Q16
16.
(a)
A company gives a bonus to Ian and Stacey in the ratio of the number of months they have worked for the company.
Ian has worked for the company for 245 months.
Stacey has worked for the company for 350 months.
(i) What is the ratio that will be used to share the bonus?
Give your answer in its simplest form. [1]
Give your answer in its simplest form. [1]
(ii)
The total bonus is £6970.
How much money would each of them receive? [3]
Ian receives £ …………… Stacey receives £ ……………
(b) Bob, Jen and Lenny sell cars.
In one week, Bob sold 1 car, Jen sold 6 cars and Lenny sold 9 cars.
They shared the profit in the ratio of the number of cars they sold.
Lenny gave half of his share to Ellie.
What fraction of the profit was given to Ellie? [2]
In one week, Bob sold 1 car, Jen sold 6 cars and Lenny sold 9 cars.
They shared the profit in the ratio of the number of cars they sold.
Lenny gave half of his share to Ellie.
What fraction of the profit was given to Ellie? [2]
| Scheme | Marks | Comments |
|---|---|---|
| (i) Ratio 7:10 or 10:7 | B1 | |
| (ii) 7x 6970 ÷ (7+10) or 10x 6970 ÷ (7+10) Ian (£)2870 Stacey (£)4100 | M1 A1 A1 | Or equivalent. FT ‘their 7:10’ If A0A0 allow SC1 for reversed answers |
| Scheme | Marks | Comments |
|---|---|---|
| Ellie has \(\frac{9}{32}\) or equivalent proper fraction. | B2 | Allow B1 for Lenny’s share being 9/16 or Ellie’s share being \(\frac{4.5}{16}\) OR \(\frac{9}{(1 + 6 + 9)}\) x ½ |
| (6) |