Adam has some paint.
He uses
911 of it to paint 7 cabinets and 10 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 |
10 |
Value |
1 u |
2 u |
Total value |
7 u |
20 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 gate = 2 u
Paint needed for 7 cabinets and 10 gates
= 7 x 1 u x 10 x 2 u
= 7 u + 20 u
= 27 u
911 of the paint = 27 u
111 of the paint = 27 u ÷ 9 = 3 u
Fraction of the remaining paint left
= 1 -
911=
211 211 of the paint = 2 x 3 u = 6 u
Remaining paint left = 6 u
Number of cabinets that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of gates that Adam can paint with the remaining paint
= 6 u ÷ 2 u
= 3
Answer(s): (a) 6; (b) 3