Adam has some paint.
He uses
34 of it to paint 5 cabinets and 8 gates.
The amount of paint needed to paint a gate is 5 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 |
5 |
8 |
Value |
1 u |
5 u |
Total value |
5 u |
40 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 gate = 5 u
Paint needed for 5 cabinets and 8 gates
= 5 x 1 u x 8 x 5 u
= 5 u + 40 u
= 45 u
34 of the paint = 45 u
14 of the paint = 45 u ÷ 3 = 15 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 15 u = 15 u
Remaining paint left = 15 u
Number of cabinets that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of gates that Adam can paint with the remaining paint
= 15 u ÷ 5 u
= 3
Answer(s): (a) 15; (b) 3