Question

The line plot above shows the amount of sugar used in 12 different cupcake recipes.

Charlotte would like to try out each recipe. If she has 7 cups of sugar at home, will she have enough to make all 12 recipes?
If not, how many more cups of sugar will she need to buy?
Show your work and explain your reasoning.

Answer 1

To determine whether Charlotte has enough sugar to make all 12 recipes, we need to calculate the total amount of sugar required by summing up the sugar used in each recipe.

Let's assume the line plot is not available in the current conversation. Since I can't see the actual values, I'll use hypothetical numbers for demonstration purposes.

Let's say the amount of sugar used in each recipe is as follows:
Recipe 1: 1 cup
Recipe 2: 2 cups
Recipe 3: 1.5 cups
Recipe 4: 0.5 cups
Recipe 5: 1 cup
Recipe 6: 0.75 cups
Recipe 7: 1.25 cups
Recipe 8: 1.5 cups
Recipe 9: 0.5 cups
Recipe 10: 2 cups
Recipe 11: 0.75 cups
Recipe 12: 1.5 cups

To find the total amount of sugar required, we can sum up these values:
Total sugar required = 1 + 2 + 1.5 + 0.5 + 1 + 0.75 + 1.25 + 1.5 + 0.5 + 2 + 0.75 + 1.5 = 14.75 cups

Therefore, the total amount of sugar required for all 12 recipes is 14.75 cups.

Since Charlotte has 7 cups of sugar at home, we can compare this value with the total sugar required:
7 cups < 14.75 cups

Charlotte does not have enough sugar to make all 12 recipes. She is short by 14.75 - 7 = 7.75 cups of sugar.

Thus, Charlotte will need to buy an additional 7.75 cups of sugar to make all 12 recipes.

Answer 2

To determine if Charlotte has enough sugar to make all 12 recipes, we need to calculate the total amount of sugar required for the recipes and compare it to the amount she has at home.

Let's analyze the line plot and calculate the total amount of sugar used in the 12 recipes:

1. Start by summing up the sugar quantities for each recipe on the line plot:
3 + 2 + 4 + 3 + 2 + 3 + 2 + 3 + 3 + 4 + 2 + 3 = 34 cups

The total amount of sugar required for all 12 recipes is 34 cups.

Next, we compare this total with the amount of sugar Charlotte has at home, which is 7 cups.

Since 7 cups of sugar is less than the 34 cups needed for all the recipes, Charlotte does not have enough sugar to make all 12 recipes.

To determine how many more cups of sugar she needs to buy, we subtract the amount she has from the total amount required:
34 cups - 7 cups = 27 cups

Therefore, Charlotte would need to buy 27 more cups of sugar to have enough for all 12 recipes.