Question

a small fruit basket with 6 apples and 6 oranges costs $7.50. a different fruit basket with 10 apples and 5 oranges costs $8.75. if x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 what is the cost of one apple? 0.25 0.5 0.75 1.00

Explanation:

Step1: Simplify first equation

Divide $6x + 6y = 7.50$ by 6:
$x + y = 1.25$
Rearrange to get $y = 1.25 - x$

Step2: Simplify second equation

Divide $10x + 5y = 8.75$ by 5:
$2x + y = 1.75$

Step3: Substitute y into second equation

Replace $y$ with $1.25 - x$:
$2x + (1.25 - x) = 1.75$

Step4: Solve for x

Simplify and isolate $x$:
$2x - x = 1.75 - 1.25$
$x = 0.5$

Answer:

0.5