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Allisa [31]
3 years ago
15

An orange has 20 fewer calories

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

<em>90 calories in total</em>

Step-by-step explanation:

<em>We can solve this equation through the following steps:</em>

<em>Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:</em>

<em>Let x= the calories in a banana</em>

<em>Let x-20=the calories in an orange</em>

<em>Step Two: Create an equation</em>

<em>Since we are told "7 bananas have the same calories as 9 oranges" we translate"</em>

<em>7x=9(x-20) Distribute</em>

<em>7x=9x-180 Subtract 9x from both sides of the equation</em>

<em>7x-9x=-180 Simplify</em>

<em>-2x=180 Divide both sides by -2</em>

<em>x=90</em>

<em>∴There are 90 calories in a banana. </em>

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see the draw in the attached figure N 1

<u>case 2)</u> For x=32 units

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see the draw in the attached figure N 2

<u>case 3)</u> For x=16 units  

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<u>case 4)</u> For x=30 units

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see the draw in the attached figure N 4

<u>case 5)</u> For x=40 units

substitute in the equation 1

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y=64/x

y=64/40

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see the draw in the attached figure N 5

<u>case 6)</u> For x=60 units

substitute in the equation 1

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y=64/60

y=\frac{16}{15} =1\frac{1}{15} \ units

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

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