Adam has some paint.
He uses
45 of it to paint 2 gates and 7 cabinets.
The amount of paint needed to paint a cabinet is 2 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 |
2 |
7 |
Value |
1 u |
2 u |
Total value |
2 u |
14 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 2 gates and 7 cabinets
= 2 x 1 u x 7 x 2 u
= 2 u + 14 u
= 16 u
45 of the paint = 16 u
15 of the paint = 16 u ÷ 4 = 4 u
Fraction of the remaining paint left
= 1 -
45=
15 15 of the paint = 1 x 4 u = 4 u
Remaining paint left = 4 u
Number of gates that Adam can paint with the remaining paint
= 4 u ÷ 1 u
= 4
(b)
Number of cabinets that Adam can paint with the remaining paint
= 4 u ÷ 2 u
= 2
Answer(s): (a) 4; (b) 2