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3 years ago

Help please!!!!!!!!!!

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

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.

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