Question

Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many $5 bills does he have?16182022

Answer 1

Given: Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210.

Required: To determine how many $5 bills Vincent has.

Explanation: Let Vincent has x no of $5 bills and y no of $20 bills. Then according to the question-

`\begin{gathered} x+y=24\text{ , ...\lparen1\rparen} \\ 5x+20y=210\text{ ....\lparen2\rparen} \end{gathered}`

Now solving the above system of linear equations by substitution, from equation (1) we get

`y=24-x`

Putting this value of y in eq (2),

`\begin{gathered} 5x+20(24-x)=210 \\ 5x+480-20x=210 \\ -15x=-270 \end{gathered}`

This gives the value of x as-

`x=18`

Final Answer: Option B is correct.