Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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.

$7$ . 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.

View step-by-step help

View step-by-step help

Which word problem matches the one-step equation?

Full solution

Q.

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.

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. $\newline$ So, we can write the equation: $\newline$ $9x - 5x = 44$
Solving for x: Now, let's solve for x: $\newline$ $4x = 44$ $\newline$ $x = \frac{44}{4}$ $\newline$ $x = 11$
Calculating 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 $9x$ . $\newline$ Rui Feng's share = $5x = 5 \times 11 = \$(55)$ $\newline$ Vishal's share = $9x = 9 \times 11 = \$(99)$
Finding Total Amount: To find the total amount of money shared between the two boys, we add Rui Feng's share and Vishal's share: $\newline$ Total amount = Rui Feng's share + Vishal's share $\newline$ Total amount = $\$55$ + $\$99$ $\newline$ Total amount = $\$154$

More problems from Which word problem matches the one-step equation?

Question

Write the sentence as an equation.

\newline

138

is equal to the quotient of

w

30

\newline

/

) if you want to use a division sign.

\newline

Posted 2 months ago

Question

\newline

(\frac{2}{7})x= -14

\newline

x =

Posted 3 months ago

Question

(\frac{8}{5})x= 32

Posted 3 months ago

Question

\newline

2+2

\newline

Posted 4 days ago

Question

-27x+18y=54

Posted 4 months ago

Question

\newline

48.5-0.434=

Posted 4 months ago

Question

\newline

96.7-0.163=

Posted 4 months ago

Question

\newline

4.43-0.283=

Posted 4 months ago

Question

\newline

3.05-0.338=

Posted 4 months ago

Question

\newline

6.168-0.432=

Posted 4 months ago