Adam has some paint.
He uses
23 of it to paint 5 chairs and 9 cabinets.
The amount of paint needed to paint a cabinet is 5 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 |
5 |
9 |
Value |
1 u |
5 u |
Total value |
5 u |
45 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 5 chairs and 9 cabinets
= 5 x 1 u x 9 x 5 u
= 5 u + 45 u
= 50 u
23 of the paint = 50 u
13 of the paint = 50 u ÷ 2 = 25 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 25 u = 25 u
Remaining paint left = 25 u
Number of chairs that Adam can paint with the remaining paint
= 25 u ÷ 1 u
= 25
(b)
Number of cabinets that Adam can paint with the remaining paint
= 25 u ÷ 5 u
= 5
Answer(s): (a) 25; (b) 5