Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

The Johnson’s family attended a concert and visited an art museum. Concert tickets were $24.75 for adults and $16.00 for children, for a total of $138.25. Museum tickets were $8.25 for adults and $4.50 for children, for a total cost of $42.75.How many adults and how many children are in the Johnson’s family?

Sagot :

Annie413idn

Answer:

There are 3 adults and 4 children.

Step-by-step explanation:

Set up a systems of equation to find the number of adults and children.

x= adults

y= children

24.75x+16.00y= 138.25

8.25x+4.50y= 42.75

Solve with elimination, so by multiplying the second equation by -3, we can cancel out the x variable and solve for y.

24.75x+16.00y= 138.25

-24.75x-13.50=-128.25

Subtract both equations from each other.

250y=1000

Solve for y.

y= 4

Now that you have the value for y, you can substitute 4 for y in one of your equations to find x.

8.25x+4.50y= 42.75

8.25x+4.50(4)= 42.75

8.25x+18= 42.75

8.25x= 24.75

x=3

There are 3 adults and 4 children.

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.