Adam has some paint.
He uses
25 of it to paint 6 cabinets and 7 cupboards.
The amount of paint needed to paint a cupboard is 2 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 |
7 |
Value |
1 u |
2 u |
Total value |
6 u |
14 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 6 cabinets and 7 cupboards
= 6 x 1 u x 7 x 2 u
= 6 u + 14 u
= 20 u
25 of the paint = 20 u
15 of the paint = 20 u ÷ 2 = 10 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 10 u = 30 u
Remaining paint left = 30 u
Number of cabinets that Adam can paint with the remaining paint
= 30 u ÷ 1 u
= 30
(b)
Number of cupboards that Adam can paint with the remaining paint
= 30 u ÷ 2 u
= 15
Answer(s): (a) 30; (b) 15