Question

a bakery sold 3,900 pastries last month, and 6,825 pastries this month. what was the percent increase in the number of pastries sold?write an equation that represents this situation where $p$ represents the total percent.pastries0 3,900 6,8250% 100% ?$square square square = square$100 $cdot$ $p$ 6,825 3,900 $-$ $+$ 2,925

Explanation:

Step1: Find increase in pastries

$6825 - 3900 = 2925$

Step2: Set up percent equation

$\frac{2925}{3900} = \frac{p}{100}$ or rearranged: $2925 \cdot 100 = 3900 \cdot p$

Step3: Calculate percent increase

$p = \frac{2925}{3900} \times 100$
$p = 0.75 \times 100 = 75$

Answer:

Equation: $\boldsymbol{2925 \cdot 100 = 3900 \cdot p}$
Percent increase: $\boldsymbol{75\%}$