Adam has some paint.
He uses
49 of it to paint 5 chairs and 7 cupboards.
The amount of paint needed to paint a cupboard is 5 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 |
5 |
7 |
Value |
1 u |
5 u |
Total value |
5 u |
35 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cupboard = 5 u
Paint needed for 5 chairs and 7 cupboards
= 5 x 1 u x 7 x 5 u
= 5 u + 35 u
= 40 u
49 of the paint = 40 u
19 of the paint = 40 u ÷ 4 = 10 u
Fraction of the remaining paint left
= 1 -
49=
59 59 of the paint = 5 x 10 u = 50 u
Remaining paint left = 50 u
Number of chairs that Adam can paint with the remaining paint
= 50 u ÷ 1 u
= 50
(b)
Number of cupboards that Adam can paint with the remaining paint
= 50 u ÷ 5 u
= 10
Answer(s): (a) 50; (b) 10