Adam has some paint.
He uses
23 of it to paint 9 chairs and 7 cabinets.
The amount of paint needed to paint a cabinet is 3 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 |
9 |
7 |
Value |
1 u |
3 u |
Total value |
9 u |
21 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cabinet = 3 u
Paint needed for 9 chairs and 7 cabinets
= 9 x 1 u x 7 x 3 u
= 9 u + 21 u
= 30 u
23 of the paint = 30 u
13 of the paint = 30 u ÷ 2 = 15 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 15 u = 15 u
Remaining paint left = 15 u
Number of chairs that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of cabinets that Adam can paint with the remaining paint
= 15 u ÷ 3 u
= 5
Answer(s): (a) 15; (b) 5