Adam has some paint.
He uses
59 of it to paint 7 cabinets and 4 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 |
7 |
4 |
Value |
1 u |
2 u |
Total value |
7 u |
8 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 gate = 2 u
Paint needed for 7 cabinets and 4 gates
= 7 x 1 u x 4 x 2 u
= 7 u + 8 u
= 15 u
59 of the paint = 15 u
19 of the paint = 15 u ÷ 5 = 3 u
Fraction of the remaining paint left
= 1 -
59=
49 49 of the paint = 4 x 3 u = 12 u
Remaining paint left = 12 u
Number of cabinets that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of gates that Adam can paint with the remaining paint
= 12 u ÷ 2 u
= 6
Answer(s): (a) 12; (b) 6