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Naddik [55]
3 years ago
10

An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adu

lts who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?
Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

Step-by-step explanation:

Total earned = 15,385

Adults = $25

Children = $15

Let

Adults = A

Children = C

The number of adults who attendee the show was 41 more than the number of children who attended the show

A = C + 41

25A + 15C = 15,385

Substitute

A = C + 41

25(C+41) + 15C = 15,385

25C + 1,025 + 15C = 15,385

40C + 1,025 = 15,385

40C = 15,385 - 1,025

40C = 14,360

Divide both sides by 40

C = 14,360 / 40

= 359

C = 359

Substitute C = 359 into

A = C + 41

A = 359 + 41

= 400

A = 400

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

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