Adam has some paint.
He uses
38 of it to paint 10 cupboards and 4 chairs.
The amount of paint needed to paint a chair is 5 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 |
10 |
4 |
Value |
1 u |
5 u |
Total value |
10 u |
20 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 chair = 5 u
Paint needed for 10 cupboards and 4 chairs
= 10 x 1 u x 4 x 5 u
= 10 u + 20 u
= 30 u
38 of the paint = 30 u
18 of the paint = 30 u ÷ 3 = 10 u
Fraction of the remaining paint left
= 1 -
38=
58 58 of the paint = 5 x 10 u = 50 u
Remaining paint left = 50 u
Number of cupboards that Adam can paint with the remaining paint
= 50 u ÷ 1 u
= 50
(b)
Number of chairs that Adam can paint with the remaining paint
= 50 u ÷ 5 u
= 10
Answer(s): (a) 50; (b) 10