Adam has some paint.
He uses
1112 of it to paint 2 cupboards and 10 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 |
2 |
10 |
Value |
1 u |
2 u |
Total value |
2 u |
20 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 gate = 2 u
Paint needed for 2 cupboards and 10 gates
= 2 x 1 u x 10 x 2 u
= 2 u + 20 u
= 22 u
1112 of the paint = 22 u
112 of the paint = 22 u ÷ 11 = 2 u
Fraction of the remaining paint left
= 1 -
1112=
112 112 of the paint = 1 x 2 u = 2 u
Remaining paint left = 2 u
Number of cupboards that Adam can paint with the remaining paint
= 2 u ÷ 1 u
= 2
(b)
Number of gates that Adam can paint with the remaining paint
= 2 u ÷ 2 u
= 1
Answer(s): (a) 2; (b) 1