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Partnership
Answer:
Andray = $5
Becky
= $145
Curtis = $55
Devin = $115
Enrico = $95
AI says
Let's denote the spending of each person as follows:
- Let (B) represent Becky's spending.
- Let (A) represent Andray's spending.
- Let (C) represent Curtis's spending.
- Let (D) represent Devin's spending.
- Let (E) represent Enrico's spending.
We are given the following information:
1. B + A = 150 (Becky and Andray spent $150)
2. C + B = 200 (Curtis and Becky spent $200)
3. D + C = 170 (Devin and Curtis spent $170)
4. E + D = 210 (Enrico and Devin spent $210)
5. A + E = 100 (Andray and Enrico spent $100)
Now, we can solve these equations to find the individual spending of each person.
From equation 1, we can express (A) in terms of (B):
A = 150 - B
Now, substitute (A) in equation 5:
(150 - B) + E = 100
Solve for (E):
E = B - 50
Now, substitute (E) in equation 4:
(B - 50) + D = 210
Solve for (D):
D = 260 - B
Now, substitute D) in equation 3:
(260 - B) + C = 170
Solve for (C):
C = B - 90
Finally, substitute C) in equation 2:
(B - 90) + B = 200
Combine like terms:
2B - 90 = 200
Solve for (B):
2B = 290 B = 145
Now that we have B), we can find the values for (A), (C), (D), and (E) using the earlier expressions:
A = 150 - B = 150 - 145 = 5
C = B - 90 = 145 - 90 = 55
D = 260 - B = 260 - 145 = 115
E = B - 50 = 145 - 50 = 95
So, the individual spending of each person is as follows:
- Becky (B): $145
- Andray (A): $5
- Curtis (C): $55
- Devin (D): $115
- Enrico (E): $95
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