Question

Suppose you also know that Luis has four times as many one-dollar bills as ten-dollar bills, and that his total is still $43. How many five-dollar bills does he have?

Answer 1

Step-by-step explanation

Step 1

Let

x represents the number of bills $1

y represents the number of bills $10

Luis has four times as many one-dollar bills as ten-dollar bills,then

`x=4y\text{ Equation(1)}`

Also,his total is still $43,then

`\begin{gathered} 1\cdot x+10\cdot y=43 \\ x+10y=43\text{ Equation (2)} \end{gathered}`

Step 2

find x and y , using Equation(1) and (2)

A)replace the value of x, from equation(1) into equation(2)

`\begin{gathered} x=4y\text{ Equation(1)} \\ x+10y=43\text{ Equation (2)} \\ \text{replacing} \\ 4y+10y=43 \\ 40 \end{gathered}`