Adam has some paint.
He uses
45 of it to paint 9 cabinets and 5 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 |
9 |
5 |
Value |
1 u |
3 u |
Total value |
9 u |
15 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 9 cabinets and 5 cupboards
= 9 x 1 u x 5 x 3 u
= 9 u + 15 u
= 24 u
45 of the paint = 24 u
15 of the paint = 24 u ÷ 4 = 6 u
Fraction of the remaining paint left
= 1 -
45=
15 15 of the paint = 1 x 6 u = 6 u
Remaining paint left = 6 u
Number of cabinets that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of cupboards that Adam can paint with the remaining paint
= 6 u ÷ 3 u
= 2
Answer(s): (a) 6; (b) 2