Question

sarah spent a total of 10 on oranges and apples at the supet market. if she spent 3 dollars less for oranges than she did on apples how much did sarah spend on oranges

Answer 1

Let's write 2 equations from the two statements given.

Sarah spent 10 dollars on both oranges and apples

Let the price of oranges be "x" and price of apples be "y", thus we can write:

$x+y=10$

Oranges cost 3 less than apples, thus we can say:

$y-3=x$

We can substitute this into the first equation and solve for y:

$\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}$

Thus, let's solve for x now,

$\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}$

We want the price of oranges (x), thus,

Price of Oranges = $3.50