Adam has some paint.
He uses
23 of it to paint 2 chairs and 9 cupboards.
The amount of paint needed to paint a cupboard is 2 times that of a chair.
- How many chairs can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Chairs |
Cupboards |
Number |
2 |
9 |
Value |
1 u |
2 u |
Total value |
2 u |
18 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 2 chairs and 9 cupboards
= 2 x 1 u x 9 x 2 u
= 2 u + 18 u
= 20 u
23 of the paint = 20 u
13 of the paint = 20 u ÷ 2 = 10 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 10 u = 10 u
Remaining paint left = 10 u
Number of chairs that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of cupboards that Adam can paint with the remaining paint
= 10 u ÷ 2 u
= 5
Answer(s): (a) 10; (b) 5