Answer:
Senior citizen: $9
Child: $11
Step-by-step explanation:
To solve this problem, we can use system of equations. Let's use x for senior citizen tickets and y for child tickets.
Equation 1: 7x+12y=195
Equation 2: x+13y=152
We can use substitution method to solve. There are also many other methods we can use. Substitution is only one of them. Let's solve for x in Equation 2.
x+13y=152 [subtract both sides by 13y]
x=152-13y
Now that we have x, we can plug it into Equation 1 and solve for y.
7(152-13y)+12y=195 [distribute by FOIL]
1064-91y+12y=195 [combine like terms]
1064-79y=195 [subtract both sides by 1064]
-79y=-869 [divide both sides by -79]
y=11
Now, we know that there are $11 of child tickets. To find x, we can plug y into any equation.
x+13y=152 [plug in y=11]
x+13(11)=152 [multiply]
x+143=152 [subtract both sides by 143]
x=9
Now, we know that a senior citizen ticket is $9 and child ticket is $11.
