Adam has some paint.
He uses
59 of it to paint 10 cabinets and 3 chairs.
The amount of paint needed to paint a chair is 5 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 |
10 |
3 |
Value |
1 u |
5 u |
Total value |
10 u |
15 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 chair = 5 u
Paint needed for 10 cabinets and 3 chairs
= 10 x 1 u x 3 x 5 u
= 10 u + 15 u
= 25 u
59 of the paint = 25 u
19 of the paint = 25 u ÷ 5 = 5 u
Fraction of the remaining paint left
= 1 -
59=
49 49 of the paint = 4 x 5 u = 20 u
Remaining paint left = 20 u
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of chairs that Adam can paint with the remaining paint
= 20 u ÷ 5 u
= 4
Answer(s): (a) 20; (b) 4