a customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. the total bill was $94.75. write and solve an equation to find the price of each shrub. a. 9p 11.5p = $94.75; p = $4.62 b. 9p $11.50 = $94.75; p = $11.75 c. 9p $11.50 = $94.75; p = $9.25 d. 9(p $11.50) = $94.75; p = $5.00
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
Let
p---------> the price of each scrub
s----------> the price of the potting soil
T--------> total bill
we know that
\(T=9p+s\)
in this problem
\(T=\$94.75\\ s=\$11.50\\p=?\)
substitute the values in the formula above
\(\$94.75=9p+\$11.50\)
solve for p
\(9p=94.75-11.50\)
\(9p=83.25\)
\(p=9.25\)
therefore
the answer is the option C
\(\$94.75=9p+\$11.50\)
\(p=9.25\)