Adam has some paint.
He uses
611 of it to paint 6 cabinets and 3 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 |
3 |
Value |
1 u |
2 u |
Total value |
6 u |
6 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 chair = 2 u
Paint needed for 6 cabinets and 3 chairs
= 6 x 1 u x 3 x 2 u
= 6 u + 6 u
= 12 u
611 of the paint = 12 u
111 of the paint = 12 u ÷ 6 = 2 u
Fraction of the remaining paint left
= 1 -
611=
511 511 of the paint = 5 x 2 u = 10 u
Remaining paint left = 10 u
Number of cabinets that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of chairs that Adam can paint with the remaining paint
= 10 u ÷ 2 u
= 5
Answer(s): (a) 10; (b) 5