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.
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
\(\$30.12\)