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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.

Verified Answer :

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

\(y=\frac{5}{6}x\) ------> equation A

\(y=\$150.60\)

Substitute the value of y in equation A

\(150.60=\frac{5}{6}x\)

Solve for x

Multiply by \(\frac{6}{5}\) both sides

\(x=\frac{6}{5}*150.60\\\\x=\$180.72\)

Find the difference of the price Store B and Store A

\(\$180.72-\$150.60=\$30.12\)

therefore

the answer is

\(\$30.12\)