Math  /  Numbers & Operations

Question7. A box contains bags of nails. Each bag has 24 nails. There are 960 nails in the box. How many bags are in the box?

Studdy Solution

STEP 1

What is this asking? How many bags of 24 nails are needed to have a total of 960 nails? Watch out! Don't mix up the number of nails per bag with the total number of nails.

STEP 2

1. Divide to find the number of bags

STEP 3

We're going to **divide** the **total number of nails** by the **number of nails per bag**.
This will tell us how many bags we need!
It's like figuring out how many groups of 24 are in 960.

STEP 4

96024 \frac{960}{24}

STEP 5

Let's break this down a bit.
We can divide both the top and bottom by 2: 960÷224÷2=48012 \frac{960 \div 2}{24 \div 2} = \frac{480}{12} Now, divide both by 2 again: 480÷212÷2=2406 \frac{480 \div 2}{12 \div 2} = \frac{240}{6} And again! 240÷26÷2=1203 \frac{240 \div 2}{6 \div 2} = \frac{120}{3} We know that 12÷3=412 \div 3 = 4, so 120÷3120 \div 3 must be 40!

STEP 6

Or, if we know our multiplication facts well, we can see that 244=9624 \cdot 4 = 96.
So, 244024 \cdot 40 must be 9610=96096 \cdot 10 = 960!

STEP 7

So, whether we divide it step-by-step or use our multiplication knowledge, we get the same **result**: 96024=40\frac{960}{24} = 40.

STEP 8

There are **40** bags of nails in the box.

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