Adam has some paint.
He uses
37 of it to paint 7 chairs and 10 cabinets.
The amount of paint needed to paint a cabinet is 2 times that of a chair.
- How many chairs can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Chairs |
Cabinets |
Number |
7 |
10 |
Value |
1 u |
2 u |
Total value |
7 u |
20 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 7 chairs and 10 cabinets
= 7 x 1 u x 10 x 2 u
= 7 u + 20 u
= 27 u
37 of the paint = 27 u
17 of the paint = 27 u ÷ 3 = 9 u
Fraction of the remaining paint left
= 1 -
37=
47 47 of the paint = 4 x 9 u = 36 u
Remaining paint left = 36 u
Number of chairs that Adam can paint with the remaining paint
= 36 u ÷ 1 u
= 36
(b)
Number of cabinets that Adam can paint with the remaining paint
= 36 u ÷ 2 u
= 18
Answer(s): (a) 36; (b) 18