Adam has some paint.
He uses
35 of it to paint 10 cabinets and 2 cupboards.
The amount of paint needed to paint a cupboard is 4 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 |
10 |
2 |
Value |
1 u |
4 u |
Total value |
10 u |
8 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 4 u
Paint needed for 10 cabinets and 2 cupboards
= 10 x 1 u x 2 x 4 u
= 10 u + 8 u
= 18 u
35 of the paint = 18 u
15 of the paint = 18 u ÷ 3 = 6 u
Fraction of the remaining paint left
= 1 -
35=
25 25 of the paint = 2 x 6 u = 12 u
Remaining paint left = 12 u
Number of cabinets that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of cupboards that Adam can paint with the remaining paint
= 12 u ÷ 4 u
= 3
Answer(s): (a) 12; (b) 3