SOLUTION: I need help setting up these word problems: 1.) Adult tickets to a pay cost of $22. Tickets for children cost $15. Tickets for a graph of 11 people cost a total of $228. Write and

Question 814082: I need help setting up these word problems: 1.) Adult tickets to a pay cost of $22. Tickets for children cost $15. Tickets for a graph of 11 people cost a total of $228. Write and solve a system of equations to find how many children and how many adults were in the group.
2.) A school is planning a field trip for 142 people. The trip will use six drivers and two types of vehicles: buses and vans. A bus can seat 51 passengers. A van can seat 10 passengers. Write and solve a system of equations to find how many buses and vans will be needed.
3.)In talent show of singing and comedy acts, singing acts are 5 minutes long and comedy acts are 3 minutes long. The show has 12 acts and lasts 50 minutes. How many singing acts and how many comedy acts are in the show?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1.) Adult tickets to a pay cost of $22.
Tickets for children cost $15. Tickets for a group of 11 people cost a total of $228.
Write and solve a system of equations to find how many children and how many adults were in the group.
let a = no. of adults
let c = no. of children
Two equations
a + c = 11
a = (11-c), use this form for substitution
and
22a + 15c = 228
:
2.) A school is planning a field trip for 142 people.
The trip will use six drivers and two types of vehicles: buses and vans
. A bus can seat 51 passengers. A van can seat 10 passengers.
Write and solve a system of equations to find how many buses and vans will be needed.
b = no. of buses
v = no. of vans
Two equations
b + v = 6
v = (6-b)
and
51b + 10v = 142
:
3.)In talent show of singing and comedy acts,
singing acts are 5 minutes long and comedy acts are 3 minutes long.
The show has 12 acts and lasts 50 minutes.
How many singing acts and how many comedy acts are in the show?
let s = no. of singing acts
let c = no. comedies
Two equations
s + c = 12
c = (12-s)
and
5s + 3c = 50
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