Adam has some paint.
He uses
710 of it to paint 10 cupboards and 2 chairs.
The amount of paint needed to paint a chair is 2 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many chairs can he paint using the remaining paint?
|
Cupboards |
Chairs |
Number |
10 |
2 |
Value |
1 u |
2 u |
Total value |
10 u |
4 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 chair = 2 u
Paint needed for 10 cupboards and 2 chairs
= 10 x 1 u x 2 x 2 u
= 10 u + 4 u
= 14 u
710 of the paint = 14 u
110 of the paint = 14 u ÷ 7 = 2 u
Fraction of the remaining paint left
= 1 -
710=
310 310 of the paint = 3 x 2 u = 6 u
Remaining paint left = 6 u
Number of cupboards that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of chairs that Adam can paint with the remaining paint
= 6 u ÷ 2 u
= 3
Answer(s): (a) 6; (b) 3