Question

leyan bought $2\frac{3}{4}$ pounds of apples for $1.32 per pound, $1\frac{1}{2}$ pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. the total cost of his purchase was $9.63.
which equation represents the situation, if $x$ is the amount of dollars spent on tomatoes?
$\bigcirc$ $2\frac{3}{4}(1.32)+1\frac{1}{2}(1.20)+x=9.63$
$\bigcirc$ $2\frac{3}{4}(1.32)+1\frac{1}{2}(1.20)=9.63x$
$\bigcirc$ $(2\frac{3}{4}+1\frac{1}{2})\cdot(1.32+1.20)+x=9.63$
$\bigcirc$ $2\frac{3}{4}(1.32)+1\frac{1}{2}(1.20)-x=9.63$

Explanation:

Step1: Calculate apple cost

Cost of apples = Weight × Price = $2\frac{3}{4} \times 1.32$

Step2: Calculate peach cost

Cost of peaches = Weight × Price = $1\frac{1}{2} \times 1.20$

Step3: Set total cost equation

Total cost = Apple cost + Peach cost + Tomato cost ($x$)

Answer:

$\boldsymbol{2\frac{3}{4}(1.32) + 1\frac{1}{2}(1.20) + x = 9.63}$