Question

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

Answer 1

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`

Answer 2

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.