Final answer:
To find out how much money Gary had left after shopping, we need to consider the information given. We can set up an equation using the information that Henry had 4/7 of what Gary had left, and solve for the amount of money Gary had left.
Step-by-step explanation:
To find out how much money Gary had left after shopping, we need to consider the information given. We know that Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that, Henry had 4/7 of what Gary had left.
Let's work through the steps to find out how much money Gary had left:
- Let's assume the amount of money Gary and Henry brought for shopping is 'x' dollars.
- Since Gary spent $95, he has 'x - 95' dollars left.
- According to the given information, Henry had 4/7 of what Gary had left. This means that Henry had (4/7) * ('x - 95') dollars left. We can set up the equation: (4/7) * ('x - 95') = 350.
- To solve for 'x', we can multiply both sides of the equation by the reciprocal of (4/7), which is (7/4):
(7/4) * (4/7) * ('x - 95') = (7/4) * 350
'x - 95' = 875
Now, we can solve for 'x' by adding 95 to both sides of the equation:
'x - 95' + 95 = 875 + 95
'x' = 970
Therefore, Gary had $970 left after shopping.