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A miniature golf course charges different prices for adults and children. On Saturday, 50 adults and 50 children played, and the golf course earned $800. On Sunday, 65 adults and 75 children played, and the golf course earned $1100. How much does the golf course charge for adults?

Respuesta :

vunderkid
{50a+50c=800
{65a+75c=1100

{15a+15c=240
{13a+15c=220

2a=20
a=10
Golf course charge for adults $10
ashishdwivedilVT

The golf course charges $10 for each adult.

suppose charges for adults are P dollars per adult.

charges for children is Q dollars per child.

from the given condition we can say that,

50P+50Q=800.................(Eq.1)

65P+75Q=1100.................(Eq.2)

now we have linear equations with two variables.

what is a linear equation?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y are not zero.

After multiplying equation1 by '1.5'

equation looks like

75P+75Q=1200................(Eq.3)

subtract equation2 from equation3

we get P=10

put the value of P in any of the equations to get Q

we get Q=6

Hence, the golf course charges $10 for each adult.

to get more about linear equations, refer to the link,

https://brainly.com/question/6318509

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