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Serga [27]
3 years ago
14

You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has th

e best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Find the ratio value of oil to popcorn kernels for each theatre. Then, complete the multiplication statements. Type your answers as numbers. Use / for the fraction bar, if necessary. Theatre A's recipe calls for a0 cup oil for every cup of popcorn kernels.
Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0
Given that t<span>he manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.

Then, the ratio </span><span>value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.

Given that t</span><span>he manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.

Then, the </span>ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.

Given that t<span>he manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Then, the </span>ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Nastasia [14]3 years ago
6 0

Answer:

Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.

Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.

Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.

Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.

Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

Step-by-step explanation:

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x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

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We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = \frac{1}{5}

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = \frac{1}{6}

∵ Sam can finish the job in x hours

∴ The rate of Sam = \frac{1}{x}

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

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∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

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∴ \frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}

Add the numerators and put the sum over 30 x

∵ \frac{11x+30}{30x}=\frac{1}{2}

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

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Step-by-step explanation:

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