Adam has some paint.
He uses
37 of it to paint 2 cabinets and 4 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 |
2 |
4 |
Value |
1 u |
4 u |
Total value |
2 u |
16 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 4 u
Paint needed for 2 cabinets and 4 cupboards
= 2 x 1 u x 4 x 4 u
= 2 u + 16 u
= 18 u
37 of the paint = 18 u
17 of the paint = 18 u ÷ 3 = 6 u
Fraction of the remaining paint left
= 1 -
37=
47 47 of the paint = 4 x 6 u = 24 u
Remaining paint left = 24 u
Number of cabinets that Adam can paint with the remaining paint
= 24 u ÷ 1 u
= 24
(b)
Number of cupboards that Adam can paint with the remaining paint
= 24 u ÷ 4 u
= 6
Answer(s): (a) 24; (b) 6