Adam has some paint.
He uses
38 of it to paint 4 cupboards and 5 chairs.
The amount of paint needed to paint a chair is 4 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many chairs can he paint using the remaining paint?
|
Cupboards |
Chairs |
Number |
4 |
5 |
Value |
1 u |
4 u |
Total value |
4 u |
20 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 chair = 4 u
Paint needed for 4 cupboards and 5 chairs
= 4 x 1 u x 5 x 4 u
= 4 u + 20 u
= 24 u
38 of the paint = 24 u
18 of the paint = 24 u ÷ 3 = 8 u
Fraction of the remaining paint left
= 1 -
38=
58 58 of the paint = 5 x 8 u = 40 u
Remaining paint left = 40 u
Number of cupboards that Adam can paint with the remaining paint
= 40 u ÷ 1 u
= 40
(b)
Number of chairs that Adam can paint with the remaining paint
= 40 u ÷ 4 u
= 10
Answer(s): (a) 40; (b) 10