Ahsley had a summer lemonade stand where she sold small cups of lemonade for $1.25 And large cups for $2.50. If Ashley sold a to

Question

3 years ago

8

tal of 155 cups of lemonade for $265, How many cups of each type did she sell.

1 answer:

olganol [36] · Answer 1 · 2022-05-05T12:19:25+03:00

Ashley sold 98 small cups and 57 large cups of lemonade.

Step-by-step explanation:

Given,

Price of small cup of lemonade = $1.25

Price of large cup of lemonade = $2.50

Total cups sold = 155

Total worth of cups = $265

Let,

x represent the number of small cups sold

y represent 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

$1.25(x+y=155)\\1.25x+1.25y=193.75\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(1.25x+2.50y)-(1.25x+1.25y)=265-193.75\\1.25x+2.50y-1.25x-1.25y=71.25\\1.25y=71.25$

Dividing both sides by 1.25

$\frac{1.25y}{1.25}=\frac{71.25}{1.25}\\y=57$

Putting y=57 in Eqn 1

$x+57=155\\x=155-57\\x=98$

Ashley sold 98 small cups and 57 large cups of lemonade.

Keywords: linear equation, elimination method

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