Question

1. complete the table of equivalent ratios.

pennies	25	10		55

1. convert 130% to a simplified mixed number and a percent.

Explanation:

Question 14:

Step1: Find the ratio of Pennies to Nickels

The first pair is 25 Pennies to 5 Nickels, so the ratio is $\frac{25}{5} = 5$. This means the number of Pennies is 5 times the number of Nickels (or Nickels is $\frac{1}{5}$ of Pennies).

Step2: Calculate Nickels for 10 Pennies

If Pennies = 10, then Nickels = $10 \div 5 = 2$.

Step3: Calculate Pennies for 25 Nickels

If Nickels = 25, then Pennies = $25 \times 5 = 125$.

Step4: Calculate Nickels for 55 Pennies

If Pennies = 55, then Nickels = $55 \div 5 = 11$.

Step1: Convert percentage to fraction

To convert a percentage to a fraction, we divide by 100. So, $130\%=\frac{130}{100}$.

Step2: Simplify the fraction

Simplify $\frac{130}{100}$ by dividing numerator and denominator by their greatest common divisor, which is 10. So, $\frac{130\div10}{100\div10}=\frac{13}{10}$.

Step3: Convert to mixed number

$\frac{13}{10}$ as a mixed number is $1\frac{3}{10}$ (since $13 = 10\times1 + 3$).

Step4: As a percent, it's already given as 130%, but maybe you mean as a decimal? Wait, the question says "a simplified mixed number and a percent" – but 130% is already a percent. If we consider converting to a mixed number and a decimal (maybe a typo), but following the question:

Mixed number: $1\frac{3}{10}$, Percent: 130% (or if decimal, 1.3, but the question says percent, so 130%).

Answer:

Pennies	25	10	125	55

Question 16: