Adam has some paint.
He uses
37 of it to paint 5 gates and 4 cabinets.
The amount of paint needed to paint a cabinet is 4 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 |
5 |
4 |
Value |
1 u |
4 u |
Total value |
5 u |
16 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cabinet = 4 u
Paint needed for 5 gates and 4 cabinets
= 5 x 1 u x 4 x 4 u
= 5 u + 16 u
= 21 u
37 of the paint = 21 u
17 of the paint = 21 u ÷ 3 = 7 u
Fraction of the remaining paint left
= 1 -
37=
47 47 of the paint = 4 x 7 u = 28 u
Remaining paint left = 28 u
Number of gates that Adam can paint with the remaining paint
= 28 u ÷ 1 u
= 28
(b)
Number of cabinets that Adam can paint with the remaining paint
= 28 u ÷ 4 u
= 7
Answer(s): (a) 28; (b) 7