Adam has some paint.
He uses
911 of it to paint 6 chairs and 7 cabinets.
The amount of paint needed to paint a cabinet is 3 times that of a chair.
- How many chairs can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Chairs |
Cabinets |
Number |
6 |
7 |
Value |
1 u |
3 u |
Total value |
6 u |
21 u |
(a)
Paint needed for 1 chair = 1 u
Paint needed for 1 cabinet = 3 u
Paint needed for 6 chairs and 7 cabinets
= 6 x 1 u x 7 x 3 u
= 6 u + 21 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 chairs that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of cabinets that Adam can paint with the remaining paint
= 6 u ÷ 3 u
= 2
Answer(s): (a) 6; (b) 2