Adam has some paint.
He uses
58 of it to paint 5 cabinets and 10 chairs.
The amount of paint needed to paint a chair is 3 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many chairs can he paint using the remaining paint?
|
Cabinets |
Chairs |
Number |
5 |
10 |
Value |
1 u |
3 u |
Total value |
5 u |
30 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 chair = 3 u
Paint needed for 5 cabinets and 10 chairs
= 5 x 1 u x 10 x 3 u
= 5 u + 30 u
= 35 u
58 of the paint = 35 u
18 of the paint = 35 u ÷ 5 = 7 u
Fraction of the remaining paint left
= 1 -
58=
38 38 of the paint = 3 x 7 u = 21 u
Remaining paint left = 21 u
Number of cabinets that Adam can paint with the remaining paint
= 21 u ÷ 1 u
= 21
(b)
Number of chairs that Adam can paint with the remaining paint
= 21 u ÷ 3 u
= 7
Answer(s): (a) 21; (b) 7