The price of a bike at Store A is 5/6 the price x (in dollars) at Store B. The price at Store A is $150.60. Write and solve an equation to find how much you save by buying the bike at Store A.

Respuesta :

let the price in storeB=x
5/6x=150.6
x=180.72
180.72-150.6=$30.12
you save $30.12

Let

x------> the price of a bike in Store B

y------> the price of a bike in Store A

we know that

[tex]y=\frac{5}{6}x[/tex] ------> equation A

[tex]y=\$150.60[/tex]

Substitute the value of y in equation A

[tex]150.60=\frac{5}{6}x[/tex]

Solve for x

Multiply by [tex]\frac{6}{5}[/tex] both sides

[tex]x=\frac{6}{5}*150.60\\\\x=\$180.72[/tex]

Find the difference of the price Store B and Store A

[tex]\$180.72-\$150.60=\$30.12[/tex]

therefore

the answer is

[tex]\$30.12[/tex]

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