Adam has some paint.
He uses
310 of it to paint 10 gates and 7 cupboards.
The amount of paint needed to paint a cupboard is 5 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Gates |
Cupboards |
Number |
10 |
7 |
Value |
1 u |
5 u |
Total value |
10 u |
35 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 cupboard = 5 u
Paint needed for 10 gates and 7 cupboards
= 10 x 1 u x 7 x 5 u
= 10 u + 35 u
= 45 u
310 of the paint = 45 u
110 of the paint = 45 u ÷ 3 = 15 u
Fraction of the remaining paint left
= 1 -
310=
710 710 of the paint = 7 x 15 u = 105 u
Remaining paint left = 105 u
Number of gates that Adam can paint with the remaining paint
= 105 u ÷ 1 u
= 105
(b)
Number of cupboards that Adam can paint with the remaining paint
= 105 u ÷ 5 u
= 21
Answer(s): (a) 105; (b) 21