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.\n6x + 6y = 7.50\n10x + 5y = 8.75\nwhat is the cost of one apple?\n0.25\n0.5\n0.75\n1.00

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.\n6x + 6y = 7.50\n10x + 5y = 8.75\nwhat is the cost of one apple?\n0.25\n0.5\n0.75\n1.00

Answer

Explanation:

Step1: Simplificar la primera ecuación

Dividir la ecuación $6x + 6y=7.50$ entre 6. Obtenemos $x + y = 1.25$, entonces $y=1.25 - x$.

Step2: Sustituir $y$ en la segunda ecuación

Sustituir $y = 1.25 - x$ en $10x+5y = 8.75$. Tenemos $10x+5(1.25 - x)=8.75$. Expandiendo: $10x + 6.25-5x=8.75$.

Step3: Resolver para $x$

Combinar términos semejantes: $10x-5x=8.75 - 6.25$. $5x=2.5$. Dividir ambos lados por 5: $x=\frac{2.5}{5}=0.5$.

Answer:

0.5