Help???

On a certain hot summer day, 482 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $865.25. How many children and how many adults swam at the public pool that day?

Question

Help???


On a certain hot summer day, 482 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $865.25. How many children and how many adults swam at the public pool that day?

chaise · Answer

Let C be the number of children entering the pool
Let A be the number of adults entering the pool

A+C=482
1.25C+2.25A=865.25

Solve simultaneously.

anonymous · Answer

what do you mean by solve simultaneously?

mathstudent55 · Answer

It means to solve as a system of equations.

anonymous · Answer

can you help me do that? Q~Q

chaise · Answer

A+C=482 Eqn(1)
1.25C+2.25A=865.25 Eqn(2)


Rearrange Eqn(1) to give:
C=482-A   Eqn(3)

Substitute Eqn(3) in to Eqn(2)
1.25(482-A)+2.25A=865.25

Expand, collect like terms and solve for A, resub back in to Eqn(1) to find C.

anonymous · Answer

OMG you are so difficult to understand like what the heck is Eqn supposed to stand for equation ? and i ONLY thought there were two parts of solving this type of problem what the heck MRS.DORTCH IS GONNA HAVE MY A** -.-