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Nayeli went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 25 grams of sugar and each bottle of juice has 15 grams of sugar. Nayeli purchased 5 more bottles of soda than bottles of juice and they all collectively contain 205 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.AnswerLet equals= .Let equals= .System of Equations:

Question

Nayeli went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 25 grams of sugar and each bottle of juice has 15 grams of sugar. Nayeli purchased 5 more bottles of soda than bottles of juice and they all collectively contain 205 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system.AnswerLet equals= .Let equals= .System of Equations:

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Solution

Let the number of bottles of soda purchased be x. Let the number of bottles of juice purchased be y.

The amount of sugar in x bottles of soda is 25x grams. The amount of sugar in y bottles of juice is 15y grams.

According to the problem, Nayeli purchased 5 more bottles of soda than bottles of juice. So, we can write the equation:

x = y + 5

Also, the total amount of sugar in all the bottles is 205 grams. So, we can write the equation:

25x + 15y = 205

Therefore, the system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is:

x = y + 5 25x + 15y = 205

In this system, x represents the number of bottles of soda purchased and y represents the number of bottles of juice purchased.

This problem has been solved

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