Adam has some paint.
He uses
710 of it to paint 8 cupboards and 9 gates.
The amount of paint needed to paint a gate is 3 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many gates can he paint using the remaining paint?
|
Cupboards |
Gates |
Number |
8 |
9 |
Value |
1 u |
3 u |
Total value |
8 u |
27 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 gate = 3 u
Paint needed for 8 cupboards and 9 gates
= 8 x 1 u x 9 x 3 u
= 8 u + 27 u
= 35 u
710 of the paint = 35 u
110 of the paint = 35 u ÷ 7 = 5 u
Fraction of the remaining paint left
= 1 -
710=
310 310 of the paint = 3 x 5 u = 15 u
Remaining paint left = 15 u
Number of cupboards that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of gates that Adam can paint with the remaining paint
= 15 u ÷ 3 u
= 5
Answer(s): (a) 15; (b) 5