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Question
kadeem bought snacks for his teams practice. he bought a bag of oranges for $2.07 and a 24 - pack of juice bottles. the total cost before tax was $33.03. write and solve an equation which can be used to determine x, how much each bottle of juice cost.
Step1: Define the cost of juice bottles
Let \( x \) be the cost of each juice bottle. Then the cost of a 24 - pack of juice bottles is \( 24x \) (since there are 24 bottles and each costs \( x \) dollars).
Step2: Set up the equation
The cost of the oranges is \( \$2.07 \) and the total cost before tax is \( \$33.03 \). The sum of the cost of oranges and the cost of the juice pack is equal to the total cost. So we can write the equation:
\( 2.07+24x = 33.03 \)
Step3: Solve for \( x \)
First, subtract \( 2.07 \) from both sides of the equation:
\( 24x=33.03 - 2.07 \)
\( 24x = 30.96 \)
Then, divide both sides of the equation by 24 to solve for \( x \):
\( x=\frac{30.96}{24} \)
\( x = 1.29 \)
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The equation is \( 2.07 + 24x=33.03 \) and each bottle of juice costs \(\$1.29\).