Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cups holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.

Question

Mathematics

Kendall Randolph

16 March, 17:46

Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cups holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.

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Answers (1)

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Quentin Barrett · Answer 1

Alexa sold 8 small cups and 16 large cups of lemonade

Step-by-step explanation:

Let number of small cups = x

Let number of large cups = y

Each small cups holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade.

Since Alexa used 320 ounces of lemonade,

8x+16y=320 ... (i)

If she sold twice as many small cups as large cups

Number of large cups sold = Twice number of small cups

y=2x ... (ii)

Substituting y=2x in (ii) into (i)

8x+16 (2x) = 320

8x+32x=321

40x=320

x=320/40 = 8

Since y=2x, y=2X 8=16

Therefore: x=8, y=16