SOLUTION: Let the cost of a meal for an adult be $x and the cost of a meal for a child be $y. The cost of a meal for 3 adults and 2 children amounts to $125. The cost of a meal for 2 adults

Question 514458: Let the cost of a meal for an adult be $x and the cost of a meal for a child be $y. The cost of a meal for 3 adults and 2 children amounts to $125. The cost of a meal for 2 adults and 3 children amounts to $115.
(i) Write down two equations in x and y to represent this information.
(ii) Solve these equations to find the cost of an adult's meal and the cost of a child's meal.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let the cost of a meal for an adult be $x and the cost of a meal for a child be $y. The cost of a meal for 3 adults and 2 children amounts to $125. The cost of a meal for 2 adults and 3 children amounts to $115.
(i) Write down two equations in x and y to represent this information.
3x + 2y = 125
2x + 3y = 115
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(ii) Solve these equations to find the cost of an adult's meal and the cost of a child's meal.
Modify:
6x + 4y = 250
6x + 9y = 345
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5y = 95
y = $19 (cost of a child's meal)
----
Solve for "x":
2x + 3y = 115
2x + 57 = 115
2x = 58
x = $29 (cost of an adult's meal)
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Cheers,
Stan H.
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