WHY CAN'T ANYONE HELP ME? :( Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and
2 answers:
Answer:
Children: $13
Adults: $18
Step-by-step explanation:
Well for both sets we can set up the following system of equations,
So first we need to solve for a in the first equation.
3a + 4c = 106
-4c to both sides
3a = -4c + 106
Divide 3 by both sides
<u>a = -4/3c + 35 1/3</u>
Now we plug in that a for a in 2a + 3c = 75.
2(-4/3c + 35 1/3) + 3c = 75
-8/3c + 70 2/3 + 3c = 75
Combine like terms
1/3c + 70 2/3 = 75
-70 2/3 to both sides
1/3c = 4 1/3
Divide 1/3 to both sides
c = 13
Now we can plug in 13 for c in 3a + 4c = 106,
3a + 4(13) = 106
3a + 52 = 106
-52 to both sides
3a = 54
Divide 3 by both sides.
a = 18
<em>Thus,</em>
<em>an adult ticket is $18 and a children's ticket is $13.</em>
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<em>Hope this helps :)</em>
Answer:
Adults pay $18 and children pay $13.5
Step-by-step explanation:
Hello!
You need to calculate the price of the tickets for adults and children for the group trip to New York.
If X represents adult and Y represents children, then you can express the given information as two equations with two unknown values:
<em>Three adults and four children must pay $106</em>. ⇒ 3X + 4Y= $106
<em>Two adults and three children must pay $75.</em> ⇒ 2X + 3Y= $75
I) First step, in one of the equations you have to clear one of the unknown values, I'll clear the value of Y:
3X + 4Y= 106
4Y= 106 - 3X
II) Second step you have to replace it in the second equation:
2X + 3Y= 75
The price for adult tickets is $18.
III) Third step, using the calculated value of X, you replace it on the formula obtained in I) yo calculate the price for the children Y:
The ticket price for children is $13.5
I hope this helps!
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