Question

Nathan 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 35 grams of sugar. Nathan purchased 3 more bottles of juice than bottles of soda and they all collectively contain 405 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.

Answer 1

25x+35y=405 and y= x+3 can be used to determine the number of bottles of soda and number of bottles of juice purchased where, x represents the number of soda bottles and y represents the number of juice bottles.

Step-by-step explanation:

Given,

Sugar contained by each soda bottle = 25 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles.

y be the number of juice bottles.

According to given statement;

25x+35y=405   Eqn 1

y= x+3   Eqn 2

25x+35y=405 and y= x+3 can be used to determine the number of bottles of soda and number of bottles of juice purchased where, x represents the number of soda bottles and y represents the number of juice bottles.

Keywords: Linear equation, substitution method

Learn more about linear equations at:

• brainly.com/question/9532142
• brainly.com/question/9590016

#LearnwithBrainly