Adam has some paint.
He uses
56 of it to paint 3 cupboards and 9 cabinets.
The amount of paint needed to paint a cabinet is 3 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Cupboards |
Cabinets |
Number |
3 |
9 |
Value |
1 u |
3 u |
Total value |
3 u |
27 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 cabinet = 3 u
Paint needed for 3 cupboards and 9 cabinets
= 3 x 1 u x 9 x 3 u
= 3 u + 27 u
= 30 u
56 of the paint = 30 u
16 of the paint = 30 u ÷ 5 = 6 u
Fraction of the remaining paint left
= 1 -
56=
16 16 of the paint = 1 x 6 u = 6 u
Remaining paint left = 6 u
Number of cupboards that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of cabinets that Adam can paint with the remaining paint
= 6 u ÷ 3 u
= 2
Answer(s): (a) 6; (b) 2