Question

Systems of equations converting words to equations math word promblems into systems of equationsThere were 166 paid admissions to a game. The price was $2.10 each for adults and $0.75 each for children. The amount taken in was $293.25 How many adults and how many children attended?Problem#2 on a table are 20 coins, quarters and dimes. Their value is $3.05 how many of each kind of coin are there?

Answer 1

Problem #1:

x = adults

y = children

x + y = 166

2.10x + 0.75y = 293.25

x = 166 - y

Now we substitute the x value on the second equation:

2.10(166 - y) + 0.75y = 293.25

And we solve for y:

y = 41.

Now we substitute the y value on the first equation:

x = 166 - 41

x = 125

There are 125 adults and 41 children