Adam has some paint.
He uses
34 of it to paint 6 gates and 9 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 |
6 |
9 |
Value |
1 u |
2 u |
Total value |
6 u |
18 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 6 gates and 9 cabinets
= 6 x 1 u x 9 x 2 u
= 6 u + 18 u
= 24 u
34 of the paint = 24 u
14 of the paint = 24 u ÷ 3 = 8 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 8 u = 8 u
Remaining paint left = 8 u
Number of gates that Adam can paint with the remaining paint
= 8 u ÷ 1 u
= 8
(b)
Number of cabinets that Adam can paint with the remaining paint
= 8 u ÷ 2 u
= 4
Answer(s): (a) 8; (b) 4