Adam has some paint.
He uses
310 of it to paint 3 cupboards and 8 chairs.
The amount of paint needed to paint a chair is 3 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 |
3 |
8 |
Value |
1 u |
3 u |
Total value |
3 u |
24 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 chair = 3 u
Paint needed for 3 cupboards and 8 chairs
= 3 x 1 u x 8 x 3 u
= 3 u + 24 u
= 27 u
310 of the paint = 27 u
110 of the paint = 27 u ÷ 3 = 9 u
Fraction of the remaining paint left
= 1 -
310=
710 710 of the paint = 7 x 9 u = 63 u
Remaining paint left = 63 u
Number of cupboards that Adam can paint with the remaining paint
= 63 u ÷ 1 u
= 63
(b)
Number of chairs that Adam can paint with the remaining paint
= 63 u ÷ 3 u
= 21
Answer(s): (a) 63; (b) 21