Adam has some paint.
He uses
711 of it to paint 2 gates and 6 cupboards.
The amount of paint needed to paint a cupboard is 2 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Gates |
Cupboards |
Number |
2 |
6 |
Value |
1 u |
2 u |
Total value |
2 u |
12 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 2 gates and 6 cupboards
= 2 x 1 u x 6 x 2 u
= 2 u + 12 u
= 14 u
711 of the paint = 14 u
111 of the paint = 14 u ÷ 7 = 2 u
Fraction of the remaining paint left
= 1 -
711=
411 411 of the paint = 4 x 2 u = 8 u
Remaining paint left = 8 u
Number of gates that Adam can paint with the remaining paint
= 8 u ÷ 1 u
= 8
(b)
Number of cupboards that Adam can paint with the remaining paint
= 8 u ÷ 2 u
= 4
Answer(s): (a) 8; (b) 4