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3 years ago

Simple Algebra Equation help.

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

There are 3 adult tickets and 7 child tickets

Step-by-step explanation:

You are very close.

Let x = the number of adult tickets

Let y = number of child tickets

24.95x+ 15.95y = 186.50

The total number of tickets is 10

x+y =10

Subtract y from each side

x+y-y = 10-y

x =10-y

Substitute this into the first equation

24.95x+ 15.95y = 186.50

24.95(10-y) +15.95y = 186.50

Distribute

249.5 - 24.95y +15.95y =186.5

Combine like terms

249.5 - 9y = 186.50

Subtract 249.5 from each side

249.5-249.5 - 9y = 186.50-249.5

-9y =-63

Divide each side by -9

-9y/-9 = -63/-9

y =7

Now we need to find x

x+y =10

x+7 =10

Subtract 7 from each side

x+7-7 =10-7

x =3

There are 3 adult tickets and 7 child tickets

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