Adam has some paint.
He uses
1112 of it to paint 5 gates and 10 cabinets.
The amount of paint needed to paint a cabinet is 5 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 |
10 |
Value |
1 u |
5 u |
Total value |
5 u |
50 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 5 gates and 10 cabinets
= 5 x 1 u x 10 x 5 u
= 5 u + 50 u
= 55 u
1112 of the paint = 55 u
112 of the paint = 55 u ÷ 11 = 5 u
Fraction of the remaining paint left
= 1 -
1112=
112 112 of the paint = 1 x 5 u = 5 u
Remaining paint left = 5 u
Number of gates that Adam can paint with the remaining paint
= 5 u ÷ 1 u
= 5
(b)
Number of cabinets that Adam can paint with the remaining paint
= 5 u ÷ 5 u
= 1
Answer(s): (a) 5; (b) 1