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PtichkaEL [24]
3 years ago
15

The frosty ice cream shop sells sundaes for $2 and banana splits for $3. On a hot day the shoot sold 8 more sundaes than banana

splits and made $156
Mathematics
1 answer:
sashaice [31]3 years ago
7 0
Let’s designate the number of banana splits sold as x. That means the number of sundaes sold is x + 8.

Now if we put this into an equation, also keeping in mind their costs, we get:
3(x) + 2(x + 8) = 156

Now to solve for x:
3x + 2(x + 8) = 156
3x + 2x + 16 = 156
5x = 140
x = 28

That means you’ve sold 28 banana splits and 36 sundaes! :)
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The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the
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The information from the word problem are;

The count of the numbers in the sum = 3 numbers

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Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

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x = y + 10...(3)

From equation (3), we get;

x = y + 10

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Substituting the value of <em>z</em> from equation (2) and the value of <em>y</em> from equation (4) in equation (1) gives;

x + y + z = 86

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∴ x + y + z = x + (x - 10) + 4·x = 86

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From equation (2), we get;

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y = 6

Therefore; x = 16, y = 6, and z = 64

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