In the equation \( \frac{2}{3}x = 120 \), the number 120 represents the total amount of the budget that goes to the adults in the family.
To solve for \( x \), you can follow these steps:
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Start with the equation: \[ \frac{2}{3}x = 120 \]
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To isolate \( x \), multiply both sides of the equation by \( \frac{3}{2} \): \[ x = 120 \times \frac{3}{2} \]
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Calculate the right side: \[ x = 120 \times 1.5 = 180 \]
Thus, the total budget \( x \) is \( 180 \).