Adam has some paint.
He uses
712 of it to paint 8 cabinets and 10 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 |
8 |
10 |
Value |
1 u |
2 u |
Total value |
8 u |
20 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 8 cabinets and 10 cupboards
= 8 x 1 u x 10 x 2 u
= 8 u + 20 u
= 28 u
712 of the paint = 28 u
112 of the paint = 28 u ÷ 7 = 4 u
Fraction of the remaining paint left
= 1 -
712=
512 512 of the paint = 5 x 4 u = 20 u
Remaining paint left = 20 u
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of cupboards that Adam can paint with the remaining paint
= 20 u ÷ 2 u
= 10
Answer(s): (a) 20; (b) 10