Riordan has 3 boxes and 4 packets of marbles. He has a total of 172 marbles. Each packet contains 8 more marbles than each box. How many marbles are there in each packet?
| |
Boxes |
Packets |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 8 |
|
| Total value |
3 u |
4 u + 32 |
7 u + 32 |
Number of marbles in each box = 1 u
Number of marbles in each packet = 1 u + 8
Total number of marbles in the boxes = 3 x 1 u = 3 u
Total number of marbles in the packets = 4(1 u + 8) = 4 u + 32
Total number of marbles
= 4 u + 3 u + 32
= 7 u + 32
7 u + 32 = 172
7 u = 172 - 32
7 u = 140
1 u = 140 ÷ 7 = 20
Number of marbles in each packet
= 1 u + 8
= 20 + 8
= 28
Answer(s): 28
