Caiden and Josh are practicing at a batting cage. Josh has hit nine more than one-half the number of balls that Caiden has. If t
he sum of their hits is 123, how many balls has Josh hit
1 answer:
Answer:
The Answer is: Josh hit 47 balls.
Step-by-step explanation:
Let j = Josh number of hits and c = Caiden number of hits:
j = c/2 + 9
Total:
j + c = 123.
Substitute:
(c/2 + 9) + c = 123
c/2 + c = 123 - 9
c/2 + c = 114
1/2c + 2/2c = 114
3/2c = 144
c = 144 (2/3) = 76, Number of hits for Caiden
Solve for j:
j = 76/2 + 9
j = 38 + 9 = 47, number of hits for Josh
Proof:
j + c = 123
47 + 76 = 123
123 = 123
Hope this helps! Have an Awesome Day!! :-)
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There are multiple solutions to your question. Some possible solutions could be the following:
(0, -5)
(1, 0)
(2, 5)