SOLUTION: The problem states, the Museum charges 21 for adults, $14 for seniors, and $5 for children under 12 for tours. This past sunday, the paid revenue was $9417 for 735 tickets sold. T

Question 171740: The problem states, the Museum charges 21 for adults, $14 for seniors, and $5 for children under 12 for tours. This past sunday, the paid revenue was $9417 for 735 tickets sold. There were 43 more children than adults. How many children attended?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The problem states, the Museum charges 21 for adults, $14 for seniors, and $5 for children under 12 for tours. This past sunday, the paid revenue was $9417 for 735 tickets sold. There were 43 more children than adults. How many children attended?
---------------------------
Quantity Equation: a + s + c = 735
Value Equation: 21a +14s + 5c = 9417
Comparison Eq: c = a + 43
----------------------------------------
Rearrange:
a + s + c = 735
21a +14s + 5c = 9417
a + 0 - c = -43
-----------------------
solve this system by any method you know to get:
a = 243 (# of adults)
s = 206 (# of seniors)
c = 286 (# of children)
=============================
Cheers,
Stan H.
RELATED QUESTIONS
Could you please help me with this problem? I have a hard time figuring out how to set... (answered by josmiceli)

Solve the problem. The Family Arts Center charges $22 for adults, $17 for senior... (answered by TimothyLamb)

The Family Arts Center charges $22 for adults, $17 for senior citizens, and $6 for... (answered by ewatrrr)

The Family Arts Center charges $22 for adults, $17 for senior citizens, and $8 for... (answered by mananth)

An admission to a museum costs $11 for children and seniors and $14 for adults. If $24726 (answered by stanbon)

Museum passes cost $5 for adults and $2 for children. One day the museum sold 1820... (answered by JulietG)

The museum charges $14 for adult admission and $11 for each child. The museum bill for a (answered by macston)

Hello I'm really stuck on this problem and I'm looking for some help. I'll show you the... (answered by ewatrrr,nerdybill)

On Sunday 440 people visit a museum that charges nine dollars for each child and $12.50... (answered by josgarithmetic)