Foundation June 2019 Paper 1R Q12
12 Three bags, A, B and C, each contain some marbles.
There is a total of 75 marbles in the three bags.
\(\dfrac{1}{5}\) of the marbles are in bag A.
There are 4 more marbles in bag B than in bag C.
Work out the number of marbles in each bag.
(3)
| Scheme | Marks |
|---|---|
| (A =) \(\dfrac{1}{5} \times 75 (= 15)\) oe or \(\left(1 - \dfrac{1}{5}\right) \times 75 (= 60)\) oe | M1 |
| \(\dfrac{75 - \text{"}15\text{"}}{2} (= 30)\) oe or \(\dfrac{\text{"}75\text{"} - 15 - 4}{2} (= 28)\) oe or \(\dfrac{\text{"}75\text{"} - 15 + 4}{2} (= 32)\) oe | M1 |
| 15, 32, 28 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: workings could be seen in an equation