Pregunta
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A bakery sold 76 mocha cupcakes in a day, which was \( 95 \% \) of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Ask by Harris Wang. in the United States
Feb 28,2025

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The bakery sold a total of 80 cupcakes that day.

Solución

Let the total number of cupcakes be T. Given that 76 mocha cupcakes represent 95% of T, we can write the equation: 0.95T = 76 To solve for T, divide both sides by 0.95: T = 76 / 0.95 = 80 So, the bakery sold a total of 80 cupcakes that day.

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To find the total number of cupcakes sold, you can set up the equation where 76 cupcakes represent 95% of the total cupcakes (let’s call the total \( x \)). So, we have: \[ 0.95x = 76 \] To find \( x \), divide both sides by 0.95: \[ x = \frac{76}{0.95} \] Calculating that gives: \[ x \approx 80 \] Therefore, the bakery sold a total of approximately 80 cupcakes that day. For a fun twist, if you think about this in terms of cupcake production, who wouldn’t want to know that 76 luscious mocha cupcakes were part of that delightful batch? Imagine the aroma wafting through the air, making mouths water! And the best part? The remaining cupcakes were still ready to please customers on another day! On the practical side, when dealing with percentages, always double-check your math. One common mistake is forgetting to convert percentages into decimals properly, but you can avoid this by recalling that to convert a percentage to a decimal, simply divide by 100 (or move the decimal point two places to the left). This can save you from cupcake-counting confusion!

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