Adam has some paint.
He uses
35 of it to paint 5 gates and 8 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 |
5 |
8 |
Value |
1 u |
2 u |
Total value |
5 u |
16 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 5 gates and 8 cupboards
= 5 x 1 u x 8 x 2 u
= 5 u + 16 u
= 21 u
35 of the paint = 21 u
15 of the paint = 21 u ÷ 3 = 7 u
Fraction of the remaining paint left
= 1 -
35=
25 25 of the paint = 2 x 7 u = 14 u
Remaining paint left = 14 u
Number of gates that Adam can paint with the remaining paint
= 14 u ÷ 1 u
= 14
(b)
Number of cupboards that Adam can paint with the remaining paint
= 14 u ÷ 2 u
= 7
Answer(s): (a) 14; (b) 7