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QuestionFind the unit rate (price per cup) for popcorn in the small, medium, and large combos at Carmike Cinema.

Studdy Solution

STEP 1

Assumptions1. The small combo offers4.5 cups of popcorn and a large drink at 6.50.Themediumcombooffers5.5cupsofpopcornandalargedrinkat6.50. The medium combo offers5.5 cups of popcorn and a large drink at 8.003. The large combo offers6.5 cups of popcorn and a large drink at $9.504. We are required to find the unit rate (price per cup) for each combo

STEP 2

First, we need to find the unit rate for each combo. The unit rate is the price per cup of popcorn. We can do this by dividing the price of each combo by the number of cups of popcorn it offers.
For the small comboUnit rate=PriceNumber of cupsUnit\, rate = \frac{Price}{Number\, of\, cups}

STEP 3

Now, plug in the given values for the price and number of cups for the small combo to calculate the unit rate.
Unit rate=$6.50.5 cupsUnit\, rate = \frac{\$6.50}{.5\, cups}

STEP 4

Calculate the unit rate for the small combo.
Unit rate=$6.504. cups=$1.44 per cupUnit\, rate = \frac{\$6.50}{4.\, cups} = \$1.44\, per\, cup

STEP 5

Repeat the process for the medium combo.
Unit rate=PriceNumber of cupsUnit\, rate = \frac{Price}{Number\, of\, cups}

STEP 6

Plug in the given values for the price and number of cups for the medium combo to calculate the unit rate.
Unit rate=$8.005.5 cupsUnit\, rate = \frac{\$8.00}{5.5\, cups}

STEP 7

Calculate the unit rate for the medium combo.
Unit rate=$.005.5 cups=$1.45 per cupUnit\, rate = \frac{\$.00}{5.5\, cups} = \$1.45\, per\, cup

STEP 8

Repeat the process for the large combo.
Unit rate=PriceNumber of cupsUnit\, rate = \frac{Price}{Number\, of\, cups}

STEP 9

Plug in the given values for the price and number of cups for the large combo to calculate the unit rate.
Unit rate=$9.506.5 cupsUnit\, rate = \frac{\$9.50}{6.5\, cups}

STEP 10

Calculate the unit rate for the large combo.
Unit rate=$9.506.5 cups=$.46 per cupUnit\, rate = \frac{\$9.50}{6.5\, cups} = \$.46\, per\, cupThe unit rate (price per cup) for the small combo is .44,forthemediumcombois.44, for the medium combo is .45, and for the large combo is $.46.

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