David's freight forwarding company charges $15 for every vase delivered on time and $10 for every vase delivered late. In the month of September, David's freight forwarding company collected $2430. For every 19 vases delivered, 16 were delivered on time and 3 were delivered late.
- What was the total number of vases delivered on time?
- How much less money did David's freight forwarding company collect in September due to the late deliveries of the vases?
|
On time |
Late |
Total |
Number |
16 u |
3 u |
|
Value |
15 |
10 |
|
Total Value |
240 u |
30 u |
270 u |
(a)
Total amount collected in September
= 240 u + 30 u
= 270 u
270 u = 2430
1 u = 2430 ÷ 270 = 9
Total number of vases delivered on time
= 16 u
= 16 x 9
= 144
(b)
Amount that David's freight forwarding company collected less from each late delivery of vases
= 15 - 10
= $5
Number of vases delivered late
= 3 u
= 3 x 9
= 27
Amount that David's freight forwarding company collected less from all the late deliveries of vases
= 27 x 5
= $135
Answer(s): (a) 144; (b) $135