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Math  /  Numbers & Operations

QuestionPart 2 of 2
A 150-gram bag of berries is a mixture of raspberries and blueberries. If 80%80 \% of the bag is raspberries, how many grams of blueberries are in a bag? Draw a double number line diagram to show how to find the answer.
Choose the double number line diagram that shows how the answer can be found. A. C. B. D.
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Studdy Solution

STEP 1

1. The total weight of the bag is 150 150 grams.
2. 80% 80\% of the bag is raspberries.
3. We need to find the weight of blueberries in the bag.

STEP 2

1. Calculate the weight of raspberries.
2. Calculate the weight of blueberries.
3. Draw a double number line diagram.

STEP 3

Calculate the weight of raspberries by finding 80% 80\% of 150 150 grams.
Weight of raspberries=0.80×150 \text{Weight of raspberries} = 0.80 \times 150

STEP 4

Perform the multiplication to find the weight of raspberries.
Weight of raspberries=0.80×150=120 grams \text{Weight of raspberries} = 0.80 \times 150 = 120 \text{ grams}

STEP 5

Subtract the weight of raspberries from the total weight to find the weight of blueberries.
Weight of blueberries=150−120 \text{Weight of blueberries} = 150 - 120

STEP 6

Calculate the weight of blueberries.
Weight of blueberries=150−120=30 grams \text{Weight of blueberries} = 150 - 120 = 30 \text{ grams}

STEP 7

Draw a double number line diagram to represent the distribution of raspberries and blueberries.
- On the first line, mark 0 0 to 150 150 grams, representing the total weight of the bag. - On the second line, mark 0% 0\% to 100% 100\% , representing the percentage of the bag. - Mark 120 120 grams at 80% 80\% on the second line for raspberries. - Mark 30 30 grams at 20% 20\% on the second line for blueberries.
The weight of blueberries in the bag is:
30 grams\boxed{30 \text{ grams}}

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