Adam has some paint.
He uses
23 of it to paint 10 gates and 8 cupboards.
The amount of paint needed to paint a cupboard is 5 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 |
10 |
8 |
Value |
1 u |
5 u |
Total value |
10 u |
40 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cupboard = 5 u
Paint needed for 10 gates and 8 cupboards
= 10 x 1 u x 8 x 5 u
= 10 u + 40 u
= 50 u
23 of the paint = 50 u
13 of the paint = 50 u ÷ 2 = 25 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 25 u = 25 u
Remaining paint left = 25 u
Number of gates that Adam can paint with the remaining paint
= 25 u ÷ 1 u
= 25
(b)
Number of cupboards that Adam can paint with the remaining paint
= 25 u ÷ 5 u
= 5
Answer(s): (a) 25; (b) 5