Rael has 5 boxes and 3 packets of erasers. He has a total of 175 erasers. Each packet contains 5 more erasers than each box. How many erasers are there in each packet?
|
Boxes |
Packets |
Total |
Number |
5 |
3 |
|
Value |
1 u |
1 u + 5 |
|
Total value |
5 u |
3 u + 15 |
8 u + 15 |
Number of erasers in each box = 1 u
Number of erasers in each packet = 1 u + 5
Total number of erasers in the boxes = 5 x 1 u = 5 u
Total number of erasers in the packets = 3(1 u + 5) = 3 u + 15
Total number of erasers
= 3 u + 5 u + 15
= 8 u + 15
8 u + 15 = 175
8 u = 175 - 15
8 u = 160
1 u = 160 ÷ 8 = 20
Number of erasers in each packet
= 1 u + 5
= 20 + 5
= 25
Answer(s): 25