Answer:
First person: $107
Second person: $98
Third person: $93
Step-by-step explanation:
Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.
With the information given in the exercise, you can set up the following equations:
Equation 1 → [tex]f+s+t=298[/tex]
Equation 2 → [tex]s=f-9[/tex]
Equation 3 → [tex]t=f-14[/tex]
Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":
[tex]f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107[/tex]
Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".
Therefore, you get:
[tex]s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93[/tex]
First, second and third friends contribution are $107, 98, 93
Given that;
Cost of new game system = $298
Find:
Amount of each friends contribution
Computation;
Assume;
1st friend contribution = a
2nd friend contribution = a - 9
3rd friend contribution = a - 14
So,
a + a - 9 + a - 14 = 298
3a - 23 = 298
3a = 321
a = 107
1st friend contribution = 107
2nd friend contribution = 107 - 9 = 98
3rd friend contribution = 107 - 14 = 93
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