Question

Eduardo is keeping track of his spending. He notices that six out of every fifteen dollars he spends on groceries is spent on candy and soda.

Define units for the amount of money used for groceries and the amount of money used for candy and soda. Enter a variable for the amount of money used for groceries and use this variable to write an expression for the amount of money used for candy and soda.
If Eduardo used $ 330 for groceries, how much money did he use for candy and soda?

Answer 1

The total amount spent on groceries is represented by the variable G. Six fifteenths of G is the amount spent on candy and soda. For $330 spent on groceries, Eduardo spends $132 on candy and soda.

Step-by-step explanation:

Eduardo has observed that out of every dollar spent on groceries, six fifteenths is spent on candy and soda. To determine the amount spent on candy and soda, we define a variable for the total grocery spending. Let's call this variable G, representing the total amount Eduardo spends on groceries. To find the amount spent on candy and soda, we then use a fraction to represent the proportion of the total grocery spending that goes to these items.

Since 6 out of 15 dollars are spent on candy and soda, we multiply the total grocery spending G by the fraction 6/15 to find the amount spent on candy and soda:

(6/15) × G = Amount spent on candy and soda.

Given Eduardo spent $330 on groceries, we substitute G with 330:

(6/15) × 330 = $132

Therefore, Eduardo spent $132 on candy and soda.