Question

at a candy store, the small bag of chocolate holds 8 ounces of chocolate. the large bag holds 50% more than that. how much chocolate does the large bag hold? 150% is the same as 100% + 50%. you already know the value of 100%, so start by finding the value of 50% of 8 on the double number line. chocolate (ounces) 0 8 ? 0% 50% 100% 150% 150% · 8 = ? 1.50 · 8 = ?

Explanation:

Step1: Find 50% of 8

To find 50% of 8, we use the formula for percentage: $50\%$ of $8$ is $\frac{50}{100} \times 8$. Simplifying $\frac{50}{100}$ gives $0.5$, so $0.5 \times 8 = 4$. This fills the square on the number line (representing 50% of 8 ounces).

Step2: Calculate 150% of 8

We know that $150\% = 1 + 0.5$ (since $150\% = 100\% + 50\%$). So, $150\%$ of $8$ is $(1 + 0.5) \times 8$. Using the distributive property, this is $1 \times 8 + 0.5 \times 8 = 8 + 4 = 12$. Alternatively, using the decimal form of $150\%$ (which is $1.5$), we calculate $1.5 \times 8 = 12$.

Answer:

The large bag holds 12 ounces of chocolate.