Adam has some paint.
He uses
511 of it to paint 10 cupboards and 5 gates.
The amount of paint needed to paint a gate is 4 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 |
10 |
5 |
Value |
1 u |
4 u |
Total value |
10 u |
20 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 gate = 4 u
Paint needed for 10 cupboards and 5 gates
= 10 x 1 u x 5 x 4 u
= 10 u + 20 u
= 30 u
511 of the paint = 30 u
111 of the paint = 30 u ÷ 5 = 6 u
Fraction of the remaining paint left
= 1 -
511=
611 611 of the paint = 6 x 6 u = 36 u
Remaining paint left = 36 u
Number of cupboards that Adam can paint with the remaining paint
= 36 u ÷ 1 u
= 36
(b)
Number of gates that Adam can paint with the remaining paint
= 36 u ÷ 4 u
= 9
Answer(s): (a) 36; (b) 9