a small fruit basket with 6 apples and 6 oranges costs $7.50. a different fruit basket with 10 apples and 5…

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

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

Answer

Explanation:

Step1: Simplify first equation

Divide $6x + 6y=7.50$ by 6, we get $x + y = 1.25$, then $y=1.25 - x$.

Step2: Substitute $y$ into second equation

Substitute $y = 1.25 - x$ into $10x+5y = 8.75$. So $10x+5(1.25 - x)=8.75$.

Step3: Expand and solve for $x$

Expand: $10x + 6.25-5x=8.75$. Combine like - terms: $5x=8.75 - 6.25$. Then $5x = 2.5$. Divide both sides by 5, $x = 0.5$.

Answer:

0.5