We appreciate your visit to The school that Imani attends is selling tickets to a spring musical On the first day of ticket sales the school sold 10 senior citizen. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
One senior tickets costs $15, and one student ticket costs $10.
Step-by-step explanation:
Let 'x' represent the price of a senior citizen ticket and let 'y' represent the price of a student ticket.
10 senior tickets and 7 student tickets amounts to $220. Writing this as an equation, we get:
10x+7y=220
5 senior tickets and 9 student tickets amounts to $165. Writing this as an equation, we get:
5x+9y=165
Now, we can use simultaneous equations to find the values of 'x' and y':
10x+7y=220
5x+9y=165
>> Multiply the second equation by -2:
10x+7y=220
-10x-18y=-330
>>> Add/combine equations
-11y=-110
y=10, so student tickets cost $10 each
Sub value for y into one of the equations to fund x:
10x+7y=220
10x+7(10)=220
10x+70=220
10x=150
x=15, so senior tickets cost $15 each
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