Adam has some paint.
He uses
34 of it to paint 4 chairs and 2 cabinets.
The amount of paint needed to paint a cabinet is 4 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 |
4 |
2 |
Value |
1 u |
4 u |
Total value |
4 u |
8 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cabinet = 4 u
Paint needed for 4 chairs and 2 cabinets
= 4 x 1 u x 2 x 4 u
= 4 u + 8 u
= 12 u
34 of the paint = 12 u
14 of the paint = 12 u ÷ 3 = 4 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 4 u = 4 u
Remaining paint left = 4 u
Number of chairs that Adam can paint with the remaining paint
= 4 u ÷ 1 u
= 4
(b)
Number of cabinets that Adam can paint with the remaining paint
= 4 u ÷ 4 u
= 1
Answer(s): (a) 4; (b) 1