If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the

Question

3 years ago

14

concert was $421.5, how many of each went to the concert?

1 answer:

Arturiano [62] · Answer 1 · 2022-03-12T08:31:17+03:00

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69