Joe, Josie and Bob has $35 when they put their money together. Joe has half as much as Josie. Bob has four times as much money as Joe. How much money does Josie have?
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Answer:
$10
Step-by-step explanation:
If Joe has 1/2*Josie and Bob has 4*Joe, then Bob has 2*Josie. This yields the equation 1/2 Josie (Joe) + 2 Josie (Bob) + Josie = 35. Simplifying, 3 1/2 Josie = 35. Solving:
Multiply both sides of the equation by 2.
(3×2+1)j=70
Multiply 3 and 2 to get 6.
(6+1)j=70
Add 6 and 1 to get 7.
7j=70
Divide both sides by 7.
j=
7
70
Divide 70 by 7 to get 10.
j=10
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