the soccer team collected $800 at a car wash fundraiser. they charged $5.00 for small vehicles and $10.00…

the soccer team collected $800 at a car wash fundraiser. they charged $5.00 for small vehicles and $10.00 for larger vehicles. the amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. if the number of larger vehicles washed was 50, how many small vehicles were washed in total?\no 55\no 60\no 130\no 150

the soccer team collected $800 at a car wash fundraiser. they charged $5.00 for small vehicles and $10.00 for larger vehicles. the amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. if the number of larger vehicles washed was 50, how many small vehicles were washed in total?\no 55\no 60\no 130\no 150

Answer

Answer:

B. 60

Explanation:

Step1: Sustituir el valor de y

Dado que $y = 50$, sustituimos en la ecuación $5x+10y = 800$. Obtenemos $5x+10\times50 = 800$.

Step2: Simplificar la ecuación

$5x+500 = 800$. Restamos 500 de ambos lados: $5x=800 - 500$, entonces $5x = 300$.

Step3: Resolver para x

Dividimos ambos lados de la ecuación $5x = 300$ por 5. Tenemos $x=\frac{300}{5}=60$.