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Rasek [7]
3 years ago
11

A recipe for cooking rice indicates that 14 cups of boiling water are needed for 8 cups of rice.

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Hello!

This is a question about ratios and relating them to multiples of the ratio.

We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.

Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.

Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.

That means that 16 cups of rice should be added if we have 28 cups of boiling water.

In terms of ratios, we can set up the following proportion.

\frac{14}{8}=\frac{28}{x}

Then here, we can cross multiply and solve for x.

14x=224

x=16

Hope this helps!

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Let's solve your system by elimination.

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Multiply the first equation by -2,and multiply the second equation by 1.

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Then solve−3y=−15for y:

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Now that we've found y let's plug it back in to solve for x.

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Substitute5foryin3x+4y=29:

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