Adam has some paint.
He uses
311 of it to paint 6 cabinets and 10 gates.
The amount of paint needed to paint a gate is 3 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many gates can he paint using the remaining paint?
|
Cabinets |
Gates |
Number |
6 |
10 |
Value |
1 u |
3 u |
Total value |
6 u |
30 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 gate = 3 u
Paint needed for 6 cabinets and 10 gates
= 6 x 1 u x 10 x 3 u
= 6 u + 30 u
= 36 u
311 of the paint = 36 u
111 of the paint = 36 u ÷ 3 = 12 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 12 u = 96 u
Remaining paint left = 96 u
Number of cabinets that Adam can paint with the remaining paint
= 96 u ÷ 1 u
= 96
(b)
Number of gates that Adam can paint with the remaining paint
= 96 u ÷ 3 u
= 32
Answer(s): (a) 96; (b) 32