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lianna [129]
3 years ago
15

Adult tickets to space city amusement park cost x dollars. Childrens tickets cost y dollars. The henson family bought 3 adult an

d 1 child ticket for $163. The Garcia family bought 2 adult and 3 child tickets for $174. Write equations to represent the Henson's cost and the Garcia's cost. Solve the system.
Mathematics
2 answers:
Lerok [7]3 years ago
7 0
Henson family
3x + y = 163

Garcia family
2x + 3y = 174

Solution:

y = 163 - 3x
Substitute that into
2x + 3(163 - 3x) = 174 \\ 2x + 489 - 9x = 174 \\ 7x = 315 \\ x = 45

Substitute that into
y = 163 - 3(45) \\ y = 28

Answer: x = 45, y = 28

Hope this helps. - M
Marina86 [1]3 years ago
6 0
------------------------------------
Define x and y :
------------------------------------
Adult ticket = x 
Children ticket = y

------------------------------------
Henson's family:
------------------------------------
<span>3 adult and 1 child ticket for $163
</span>⇒ 3x + y = 163

------------------------------------
Gracia's family:
------------------------------------
<span>2 adult and 3 child tickets for $174
</span>⇒ 2x + 3y = 174


------------------------------ Extra : To solve for x and y ------------------------------ 

------------------------------------
Solve for x and y :
------------------------------------
3x + y = 163  ----------------- (1) 
2x + 3y = 174 ---------------- (2)

(1) x 3 :
9x + 3y = 489  ------------ (1a) 

(1a) - (2) :
7x = 315
x = $45  ----------------- sub into (1)

3x + y = 163
3(45) + y = 163
135 + y = 163
y =$28


------------------------------------
Find the price of the tickets:
------------------------------------
Adult ticket = x = $45
Children ticket = y = $28



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Please consider marking this answer as Brainliest to help me advance.
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