Adam has some paint.
He uses
512 of it to paint 6 cabinets and 7 gates.
The amount of paint needed to paint a gate is 2 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 |
7 |
Value |
1 u |
2 u |
Total value |
6 u |
14 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 gate = 2 u
Paint needed for 6 cabinets and 7 gates
= 6 x 1 u x 7 x 2 u
= 6 u + 14 u
= 20 u
512 of the paint = 20 u
112 of the paint = 20 u ÷ 5 = 4 u
Fraction of the remaining paint left
= 1 -
512=
712 712 of the paint = 7 x 4 u = 28 u
Remaining paint left = 28 u
Number of cabinets that Adam can paint with the remaining paint
= 28 u ÷ 1 u
= 28
(b)
Number of gates that Adam can paint with the remaining paint
= 28 u ÷ 2 u
= 14
Answer(s): (a) 28; (b) 14