SOLUTION: If 119 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $431.75, how many of each went to the con

Question 1136833: If 119 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $431.75, how many of each went to the concert?

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If adults = and children= attend a concert, we have
.....eq.1
and if tickets for adults cost $ while tickets for children cost $, and total receipts for the concert was $, we have
.....eq.2
solve this system:
.....eq.1-> both sides multiply by
.....eq.2
------------------------------------------------
.....eq.1
.....eq.2
------------------------------------------------subtract

go to eq.1, plug in value

.....eq.1

so, there was adults and children

RELATED QUESTIONS
If 122 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by stanbon)

If 110 people attend a concert and tickets for adults cost $3.5 while tickets for... (answered by math_tutor2020,josgarithmetic)

If 109 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by richwmiller)

If 72 people attend a concert and tickets for adults cost $3.5 while tickets for children (answered by josgarithmetic)

If 129 people attend a concert and tickets for adults cost $2.25 while tickets for... (answered by ikleyn,josgarithmetic,math_tutor2020)

If 113 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by stanbon)

If 114 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by josgarithmetic)

If 136 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by mananth)

If 118 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by ikleyn)