Math  /  Numbers & Operations

Question2) A soul food restaurant purchased 1528.80 pounds of flour. If they received 50 identical bags, how much rice was in each bag? a. 30.576 pounds b. 305.76 pounds c. 3.0576 pounds d. None of the above

Studdy Solution

STEP 1

What is this asking? If we have a total amount of flour and divide it equally into bags, how much flour goes in each bag? Watch out! Don't mix up multiplication and division!
We're *dividing* the total flour among the bags, not finding out how much flour there'd be if we *multiplied* the bags.
Also, be super careful with those decimal places!

STEP 2

1. Divide the total flour by the number of bags.

STEP 3

We're **dividing** the **total flour**, which is 1528.801528.80 pounds, by the **number of bags**, which is 5050.
This will tell us how much flour is in each bag.
It's like dealing out cards – we want to distribute the flour evenly.
So we have: 1528.8050 \frac{1528.80}{50}

STEP 4

Let's do this division carefully!
We can think of it as 1528.80÷501528.80 \div 50.
Remember, dividing by 5050 is the same as dividing by 100100 and then multiplying by 22 (because 502=10050 \cdot 2 = 100).
Dividing by 100100 moves the decimal point two places to the left, giving us 15.288015.2880.
Now, multiply by 22: 15.28802=30.5760 15.2880 \cdot 2 = 30.5760

STEP 5

We started with pounds of flour and divided by the number of bags, so our answer is in pounds per bag, which makes sense!
We have 30.576030.5760 pounds of flour per bag.
We can drop the last zero since it doesn't change the value, giving us a final answer of 30.576\bf{30.576} pounds per bag.

STEP 6

The amount of flour in each bag is 30.576\bf{30.576} pounds, which matches option (a).

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