Adam has some paint.
He uses
45 of it to paint 6 chairs and 10 cupboards.
The amount of paint needed to paint a cupboard is 3 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 |
6 |
10 |
Value |
1 u |
3 u |
Total value |
6 u |
30 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 6 chairs and 10 cupboards
= 6 x 1 u x 10 x 3 u
= 6 u + 30 u
= 36 u
45 of the paint = 36 u
15 of the paint = 36 u ÷ 4 = 9 u
Fraction of the remaining paint left
= 1 -
45=
15 15 of the paint = 1 x 9 u = 9 u
Remaining paint left = 9 u
Number of chairs that Adam can paint with the remaining paint
= 9 u ÷ 1 u
= 9
(b)
Number of cupboards that Adam can paint with the remaining paint
= 9 u ÷ 3 u
= 3
Answer(s): (a) 9; (b) 3