Coach Liz and Coach Joseph were stocking up on snacks for their soccer teams. Liz bought some juice boxes along with some oranges that cost 10.98 $. Joseph bought three times as many juice boxes as Liz, but he didn't buy any oranges. He spent the same amount of money as Liz. Which equation can you use to find b, the amount of money Liz spent on juice boxes? Choices: (A)b - 10.98 = 3b (B)b + 10.98 = 3b How much did Liz spend on juice boxes? ____ $

Question

Coach Liz and Coach Joseph were stocking up on snacks for their soccer teams. Liz bought some juice boxes along with some oranges that cost 10.98 $. Joseph bought three times as many juice boxes as Liz, but he didn't buy any oranges. He spent the same amount of money as Liz. Which equation can you use to find b, the amount of money Liz spent on juice boxes?   Choices: (A)b - 10.98 = 3b (B)b + 10.98 = 3b  How much did Liz spend on juice boxes?   ____ $

Bytelearn · Accepted Answer

Denote Liz's Spending: Let's denote the amount of money Liz spent on juice boxes as b. The total amount Liz spent is the sum of the money spent on juice boxes and oranges, which is b + 10.98 dollars. Since Joseph spent three times as much on juice boxes as Liz did, and he spent the same total amount as Liz, we can write the equation as 3b = b + 10.98.Equation Setup: To find the value of b, we need to solve the equation 3b = b + 10.98. We can do this by subtracting b from both sides of the equation to isolate the terms with b on one side. 3b - b = b + 10.98 - b 2b = 10.98Solving for b: Now, we divide both sides of the equation by 2 to solve for b. 2b / 2 = 10.98 / 2 b = 5.49Final Amount Spent: So, Liz spent 5.49 dollars on juice boxes.

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