Adam has some paint.
He uses
38 of it to paint 4 gates and 2 cabinets.
The amount of paint needed to paint a cabinet is 4 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Gates |
Cabinets |
Number |
4 |
2 |
Value |
1 u |
4 u |
Total value |
4 u |
8 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cabinet = 4 u
Paint needed for 4 gates and 2 cabinets
= 4 x 1 u x 2 x 4 u
= 4 u + 8 u
= 12 u
38 of the paint = 12 u
18 of the paint = 12 u ÷ 3 = 4 u
Fraction of the remaining paint left
= 1 -
38=
58 58 of the paint = 5 x 4 u = 20 u
Remaining paint left = 20 u
Number of gates that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 4 u
= 5
Answer(s): (a) 20; (b) 5