Adam has some paint.
He uses
38 of it to paint 3 cupboards and 6 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 |
3 |
6 |
Value |
1 u |
5 u |
Total value |
3 u |
30 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 chair = 5 u
Paint needed for 3 cupboards and 6 chairs
= 3 x 1 u x 6 x 5 u
= 3 u + 30 u
= 33 u
38 of the paint = 33 u
18 of the paint = 33 u ÷ 3 = 11 u
Fraction of the remaining paint left
= 1 -
38=
58 58 of the paint = 5 x 11 u = 55 u
Remaining paint left = 55 u
Number of cupboards that Adam can paint with the remaining paint
= 55 u ÷ 1 u
= 55
(b)
Number of chairs that Adam can paint with the remaining paint
= 55 u ÷ 5 u
= 11
Answer(s): (a) 55; (b) 11