How would I solve the following?

1 ) a b c d e went shopping

2 ) each had a whole dollar amount to spend

3 ) together they had 56 dollars

4 ) The absolute difference between what a and b had to spend was 19

5 ) The absolute difference between what b and c had to spend was 7

6 ) The absolute difference between what c and d had to spend was 5

7 ) The absolute difference between what d and e had to spend was 4

8 ) The absolute difference between what e and a had to spend was 11

9 ) How much did each have to spend?

I used a spreadsheet to find the solution, but wanted to know the algebra way:

a 21

b 2

c 9

d 14

e 10

1 ) a b c d e went shopping

2 ) each had a whole dollar amount to spend

3 ) together they had 56 dollars

4 ) The absolute difference between what a and b had to spend was 19

5 ) The absolute difference between what b and c had to spend was 7

6 ) The absolute difference between what c and d had to spend was 5

7 ) The absolute difference between what d and e had to spend was 4

8 ) The absolute difference between what e and a had to spend was 11

9 ) How much did each have to spend?

I used a spreadsheet to find the solution, but wanted to know the algebra way:

a 21

b 2

c 9

d 14

e 10

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