Question

Alexander and his children went into a grocery store and he bought $6 worth of bananas and peaches. Each banana costs $0.60 and each peach costs $1.50. He bought a total of 7 bananas and peaches altogether. graphically solve a system of equation in order to determine the number of banana, x, and the number peaches ,y, Alexander bought. please graph.

Answer 1

number of bananas=5

number of peaches=2

Explanation

Step 1

Let x represents the number of bananas

Let y represents the number of peaches

then

Alexander bought $6 worth of bananas and peaches,Each banana costs $0.60 and each peach costs $1.50

replace

$\begin{gathered} total\text{ cost=( number of bananas}\cdot\text{ price per banana)}+(\nu\text{mber of peaches}\cdot price\text{ per peach)} \\ P=0.6x+1.5y \\ 0.6x+1.5y=6\text{ Equation(1)} \end{gathered}$

Step 2

He bought a total of 7 bananas and peaches altogether.,so

$x+y=7\text{ Equation(2)}$

Step 3

graph

finally, when you graph a system of linear equations, the point where the lines intersect each other is the coordiante of the solution(x,y),

for the problem, that point is

$(5,2)$

so, the answer is

x=5

y=2

I hope this helps you