Please answer!!!
Robert spent 3/5 of his money on stero equipment and 1/6 of the money he had left on lunch. He left the house with $24. How much money did Robert return with?
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24*(3/5) = 14.4 dollars (for stereo equipment)
24-14.4 = 9.6 dollars (money left)
9.6*(1/6) = 1.6 dollars (for lunch)
24-(14.4+1.6) = 8 dollars
so there,, :)
To solve this problem, let's break it down step by step:
1. Robert spent 3/5 of his money on stereo equipment. This means he has 2/5 of his money left.
2. Robert then spent 1/6 of the money he had left on lunch. This means he has 5/6 of 2/5 of his money left.
3. We know that Robert left the house with $24. So, we can set up an equation to find the value of 5/6 * 2/5 of his money: (5/6) * (2/5) * X = 24, where X is the amount of money Robert had initially.
Multiplying 5/6 by 2/5 simplifies to 1/3, so our equation becomes (1/3) * X = 24.
4. To solve for X, we multiply both sides of the equation by 3: X = 3 * 24 = 72.
Therefore, Robert initially had $72.
5. Finally, to find out how much money Robert returned with, we apply his spending pattern: He spent 3/5 on stereo equipment, which is 3/5 * $72 = $43.20.
With $72 - $43.20 spent, he returned with $72 - $43.20 = $28.80.
Therefore, Robert returned with $28.80.