Adam has some paint.
He uses
23 of it to paint 4 desks and 2 chairs.
The amount of paint needed to paint a chair is 2 times that of a desk.
- How many desks can he paint using the remaining paint?
- How many chairs can he paint using the remaining paint?
|
Desks |
Chairs |
Number |
4 |
2 |
Value |
1 u |
2 u |
Total value |
4 u |
4 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 chair = 2 u
Paint needed for 4 desks and 2 chairs
= 4 x 1 u x 2 x 2 u
= 4 u + 4 u
= 8 u
23 of the paint = 8 u
13 of the paint = 8 u ÷ 2 = 4 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 4 u = 4 u
Remaining paint left = 4 u
Number of desks that Adam can paint with the remaining paint
= 4 u ÷ 1 u
= 4
(b)
Number of chairs that Adam can paint with the remaining paint
= 4 u ÷ 2 u
= 2
Answer(s): (a) 4; (b) 2