Adam has some paint.
He uses
35 of it to paint 3 cupboards and 6 gates.
The amount of paint needed to paint a gate is 2 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many gates can he paint using the remaining paint?
|
Cupboards |
Gates |
Number |
3 |
6 |
Value |
1 u |
2 u |
Total value |
3 u |
12 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 gate = 2 u
Paint needed for 3 cupboards and 6 gates
= 3 x 1 u x 6 x 2 u
= 3 u + 12 u
= 15 u
35 of the paint = 15 u
15 of the paint = 15 u ÷ 3 = 5 u
Fraction of the remaining paint left
= 1 -
35=
25 25 of the paint = 2 x 5 u = 10 u
Remaining paint left = 10 u
Number of cupboards that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of gates that Adam can paint with the remaining paint
= 10 u ÷ 2 u
= 5
Answer(s): (a) 10; (b) 5