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The product of two numbers is 55 . If on...

The product of two numbers is 55 . If one of the numbers is 2.50 , what is the other number ?

A

26

B

25

C

22

D

24

Text Solution

AI Generated Solution

The correct Answer is:
To find the other number when the product of two numbers is given, we can follow these steps: ### Step 1: Understand the relationship We know that the product of two numbers is given by the equation: \[ \text{First Number} \times \text{Second Number} = \text{Product} \] ### Step 2: Substitute the known values In this case, we know: - The product is 55 - One of the numbers (First Number) is 2.50 So we can write: \[ 2.50 \times \text{Second Number} = 55 \] ### Step 3: Isolate the Second Number To find the Second Number, we can rearrange the equation: \[ \text{Second Number} = \frac{55}{2.50} \] ### Step 4: Perform the division Now we need to calculate \( \frac{55}{2.50} \). To make the division easier, we can eliminate the decimal by multiplying both the numerator and the denominator by 100: \[ \frac{55 \times 100}{2.50 \times 100} = \frac{5500}{250} \] ### Step 5: Simplify the fraction Now we can simplify \( \frac{5500}{250} \): - Divide both the numerator and the denominator by 50: \[ \frac{5500 \div 50}{250 \div 50} = \frac{110}{5} \] ### Step 6: Final calculation Now we divide: \[ 110 \div 5 = 22 \] ### Conclusion Thus, the other number is: \[ \text{Second Number} = 22 \]
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