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Ainat [17]
3 years ago
5

One positive number is one-fifth of another number. The difference between the two numbers is 328, find

Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = \frac{1}{5}x

Their difference = 328

x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\

x = 410

Positive number = \frac{1}{5}*410=82

The numbers are 410 , 82

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Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.


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x-50=y (We know that dogs is equal to 50 less than sodas)


We can use substitution to solve this system of equations.

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Sub in the value of y from the second equation

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