Question

Kayleigh and Lauren are each thinking of a number. Lauren's number is 1/5 of Kayleigh's number. There is a difference of 44 between their two numbers. What is each number?"

a. Kayleigh's number = 55, Lauren's number = 11
b. Kayleigh's number = 40, Lauren's number = 8
c. Kayleigh's number = 50, Lauren's number = 10
d. Kayleigh's number = 33, Lauren's number = 7

Answer 1

Kayleigh's number is 55 and Lauren's number is 11.

Step-by-step explanation:

To solve this problem, let's represent Kayleigh's number as 'x'. According to the problem, Lauren's number is 1/5 of Kayleigh's number, so Lauren's number is 'x/5'. There is a difference of 44 between their two numbers, which means Kayleigh's number minus Lauren's number equals 44. Writing this as an equation, we get:

1. x - x/5 = 44
2. Multiplying both sides by 5 to eliminate the fraction, we get 5x - x = 220
3. Combining like terms, we get 4x = 220
4. Dividing both sides by 4, we find that x = 55.

So Kayleigh's number is 55 and Lauren's number is 1/5 of 55, which is 11. Therefore, the correct answer is a. Kayleigh's number = 55, Lauren's number = 11.