Question

Solve for x I sent the problem in a picture

Answer 1

the number of cousins ( x) is 9

Explanation

Step 1

Set the equation:

Let

x represents the number of cousins

initial amount:1973

rate : ( 50 dollars per cousin)

total: 2423

so

a) the total = initial amount +( money from cousins)

and

money from cousins= 50*x

hence

$\begin{gathered} total\text{ = 1973+50x} \\ \text{ replacing} \\ 2423=1973+50x\Rightarrow equation\text{ (1)} \end{gathered}$

Step 2

solve the equation:

$\begin{gathered} 2423=1973+50x\Rightarrow equation\text{ (1)} \\ \text{subtract 1973 in boht sides} \\ 2423-1973=1973+50x-1973 \\ 450=50x \\ \text{divide both sides by 50} \\ \frac{450}{50}=\frac{50x}{50} \\ 9=x \end{gathered}$

therefore, the number of cousins ( x) is 9

I hope this helps you