System of equations

Question

Wyatt went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar. Wyatt purchased 2 more bottles of juice than bottles of soda and they all collectively contain 430 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.

Help Please

Answer 1

First, instead of x & y, I recommend that we use letters that remind us of what they represent. Let's use s for the number of bottles of soda and j for bottle of juice.

We're told that Wyatt bought 2 more bottle of juice than soda, so j = s + 2.

There's one equation.

Since each bottle of soda has 30 grams of sugar, then s bottle of soda contains 30s grams of sugar.

Likewise, all the juice has 40j grams of sugar.

The problem tells us that all the sugar has to add to 430 grams, so 30s + 40j = 430.

Therefore our 2 equations are

j = s + 2

30s + 40j = 430

Hope this helps

Answer 2

j is juice. s is soda.

30s + 40j = 430

j = s + 2