John's freight forwarding company charges $19 for every plate delivered on time and $15 for every plate delivered late. In the month of April, John's freight forwarding company collected $2205. For every 17 plates delivered, 15 were delivered on time and 2 were delivered late.
- What was the total number of plates delivered on time?
- How much less money did John's freight forwarding company collect in April due to the late deliveries of the plates?
|
On time |
Late |
Total |
Number |
15 u |
2 u |
|
Value |
19 |
15 |
|
Total Value |
285 u |
30 u |
315 u |
(a)
Total amount collected in April
= 285 u + 30 u
= 315 u
315 u = 2205
1 u = 2205 ÷ 315 = 7
Total number of plates delivered on time
= 15 u
= 15 x 7
= 105
(b)
Amount that John's freight forwarding company collected less from each late delivery of plates
= 19 - 15
= $4
Number of plates delivered late
= 2 u
= 2 x 7
= 14
Amount that John's freight forwarding company collected less from all the late deliveries of plates
= 14 x 4
= $56
Answer(s): (a) 105; (b) $56