Adam has some paint.
He uses
1011 of it to paint 6 cabinets and 7 chairs.
The amount of paint needed to paint a chair is 2 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many chairs can he paint using the remaining paint?
|
Cabinets |
Chairs |
Number |
6 |
7 |
Value |
1 u |
2 u |
Total value |
6 u |
14 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 chair = 2 u
Paint needed for 6 cabinets and 7 chairs
= 6 x 1 u x 7 x 2 u
= 6 u + 14 u
= 20 u
1011 of the paint = 20 u
111 of the paint = 20 u ÷ 10 = 2 u
Fraction of the remaining paint left
= 1 -
1011=
111 111 of the paint = 1 x 2 u = 2 u
Remaining paint left = 2 u
Number of cabinets that Adam can paint with the remaining paint
= 2 u ÷ 1 u
= 2
(b)
Number of chairs that Adam can paint with the remaining paint
= 2 u ÷ 2 u
= 1
Answer(s): (a) 2; (b) 1