Question

If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?___ adults ___ children

Answer 1

If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?



___ adults



___ children ​

Let

x -------> number of adults

y -----> number of children

we have

x+y=152

isolate variable x

x=152-y ------> equation A

3.5x+1.5y=380 ------> equation B

substitute equation A in equation B

3.5(152-y)+1.5y=380

solve for y

532-3.5y+1.5y=380

3.5y-1.5y=532-380

2y=152

y=76

Find the value of x

x=152-y

x=152-76

x=76

therefore

76 adults



76 children ​