98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Step-by-step explanation:
Given,
Cost of small cup of lemonade = $1.25
Cost of large cup of lemonade = $2.50
Total cups sold = 155
Total worth of cups = $265
Let,
x be the number of small cups sold
y be the number of large cups sold
According to given statement;
x+y=155 Eqn 1
1.25x+2.50y=265 Eqn 2
Multiplying Eqn 1 by 1.25
[tex]1.25(x+y=155)\\1.25x+1.25y=193.75\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](1.25x+2.50y)-(1.25x+1.25y)=265-193.75\\1.25x+2.50y-1.25x-1.25y=71.25\\1.25y=71.25[/tex]
Dividing both sides by 1.25
[tex]\frac{1.25y}{1.25}=\frac{71.25}{1.25}\\y=57[/tex]
Putting y=57 in Eqn 1
[tex]x+57=155\\x=155-57\\x=98[/tex]
98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.
Keywords: linear equation, elimination method
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