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

Understand the problem: Understand the problem. Liz bought juice boxes and oranges for a total of $10.98. Joseph bought three times as many juice boxes as Liz but no oranges, and he spent the same amount of money as Liz. We need to find the cost of the juice boxes that Liz bought.Set up the equation: Set up the equation. Let b represent the amount of money Liz spent on juice boxes. Since Joseph spent the same amount of money as Liz and bought three times as many juice boxes, the equation representing the situation is: b (cost of juice boxes for Liz) + 10.98 (cost of oranges) = 3b (cost of juice boxes for Joseph)Identify the correct equation: Identify the correct equation from the choices. The correct equation that represents the situation is: b + 10.98 = 3b This matches choice (A).Solve the equation for b: Solve the equation for b. b + 10.98 = 3b Subtract b from both sides to get: 10.98 = 3b - b 10.98 = 2b Divide both sides by 2 to find b: b = 10.98 / 2 b = 5.49Check the solution: Check the solution. Plug the value of b back into the original equation to verify: 5.49 + 10.98 = 3(5.49) 5.49 + 10.98 = 16.47 16.47 = 16.47 The solution checks out.

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