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Question Find the cost of 10 bottles of water given that 24 bottles cost $6. Which expression shows the correct calculation?
Simplified problem statement: Find the cost of 10 bottles of water given 24 bottles cost 6.Whichexpressioniscorrect?6. Which expression is correct? \frac{24}{6} \times 10,, \frac{24}{10} \times 6,, \frac{6}{24} \times 10,or, or \frac{6}{10} \times 24$?

Studdy Solution

STEP 1

Assumptions
1. The cost of 24 bottles of water is $6.
2. We want to find the cost of 10 bottles of water.
3. The cost per bottle is constant.

STEP 2

First, we need to find the cost per bottle of water. We can do this by dividing the total cost by the number of bottles.
Cost per bottle=Total costNumber of bottlesCost\ per\ bottle = \frac{Total\ cost}{Number\ of\ bottles}

STEP 3

Now, plug in the given values for the total cost and the number of bottles to calculate the cost per bottle.
Cost per bottle=$624Cost\ per\ bottle = \frac{\$6}{24}

STEP 4

Calculate the cost per bottle.
Cost per bottle=$624=$14Cost\ per\ bottle = \frac{\$6}{24} = \$\frac{1}{4}

STEP 5

Now that we have the cost per bottle, we can find the cost for 10 bottles of water by multiplying the cost per bottle by the number of bottles we want to find the cost for.
Cost for 10 bottles=Cost per bottle×Number of bottles (10)Cost\ for\ 10\ bottles = Cost\ per\ bottle \times Number\ of\ bottles\ (10)

STEP 6

Plug in the values for the cost per bottle and the number of bottles (10) to calculate the cost for 10 bottles.
Cost for 10 bottles=$14×10Cost\ for\ 10\ bottles = \$\frac{1}{4} \times 10

STEP 7

Calculate the cost for 10 bottles.
Cost for 10 bottles=$14×10=$104=$2.50Cost\ for\ 10\ bottles = \$\frac{1}{4} \times 10 = \$\frac{10}{4} = \$2.50

STEP 8

Now, let's identify the correct expression among the given options that represents the calculation we just performed. We found the cost per bottle by dividing the total cost by the number of bottles and then multiplied by 10 to find the cost for 10 bottles.
The correct expression is:
624×10\frac{6}{24} \times 10
This is because we first divide $6 by 24 to find the cost per bottle and then multiply by 10 to find the cost for 10 bottles.

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