A certain amount of money is shared between Rui Feng and Vishal in the ratio 5:9. If Rui Feng gets $44 less than Vishal, find the total amount of money that is shared between the two boys.

Question

A certain amount of money is shared between Rui Feng and Vishal in the ratio  5:9. If Rui Feng gets  $44 less than Vishal, find the total amount of money that is shared between the two boys.

Bytelearn · Accepted Answer

Equation Setup: Let's denote the amount of money Rui Feng gets as 5x and the amount Vishal gets as 9x, where x is the common multiplier for their ratio of 5:9. According to the problem, Vishal gets $44 more than Rui Feng. So, we can write the equation: 9x - 5x = 44Solving for x: Now, let's solve for x: 4x = 44 x = 44 / 4 x = 11Calculating Shares: Now that we have the value of x, we can find out how much money each person gets. Rui Feng gets 5x and Vishal gets 9x. Rui Feng's share = 5x = 5 * 11 = $55 Vishal's share = 9x = 9 * 11 = $99Finding Total Amount: To find the total amount of money shared between the two boys, we add Rui Feng's share and Vishal's share: Total amount = Rui Feng's share + Vishal's share Total amount = $55 + $99 Total amount = $154

$7$ . A certain amount of money is shared between Rui Feng and Vishal in the ratio $5: 9$ . If Rui Feng gets $\$ 44$ less than Vishal, find the total amount of money that is shared between the two boys.

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777. A certain amount of money is shared between Rui Feng and Vishal in the ratio 5:9 5: 9 5:9. If Rui Feng gets $44 \$ 44 $44 less than Vishal, find the total amount of money that is shared between the two boys.

$7$ . A certain amount of money is shared between Rui Feng and Vishal in the ratio $5: 9$ . If Rui Feng gets $\$ 44$ less than Vishal, find the total amount of money that is shared between the two boys.