Adam has some paint.
He uses
45 of it to paint 6 cabinets and 2 cupboards.
The amount of paint needed to paint a cupboard is 3 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Cabinets |
Cupboards |
Number |
6 |
2 |
Value |
1 u |
3 u |
Total value |
6 u |
6 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 6 cabinets and 2 cupboards
= 6 x 1 u x 2 x 3 u
= 6 u + 6 u
= 12 u
45 of the paint = 12 u
15 of the paint = 12 u ÷ 4 = 3 u
Fraction of the remaining paint left
= 1 -
45=
15 15 of the paint = 1 x 3 u = 3 u
Remaining paint left = 3 u
Number of cabinets that Adam can paint with the remaining paint
= 3 u ÷ 1 u
= 3
(b)
Number of cupboards that Adam can paint with the remaining paint
= 3 u ÷ 3 u
= 1
Answer(s): (a) 3; (b) 1