jim is 45 years old. He is 10 years older than 5 times his niece. How old is carol?
J = Jim age
C = Carol age
J = 45
J = 10 + 5 C
45 = 10 + 5 C Subtract 10 to both sides
45 - 10 = 10 + 5 C - 10
35 = 5 C Divide both sides by 5
35 / 5 = C
7 = C
C = 7
Carol is 7 yo
Proof :
5 * 7 + 10 = 35 + 10 = 45
Mark has received a tax refund. He used 1/4 of the money to pay off his credit card. Than he spent 1/3 of the remaining money on new clothes and shoes for his kids. After shopping he used 1/5 of what was left to go out to eat. Finally, donated 1/2 of what was left to the food bank. This all left Mark with $128. How much did Mark receive?
To determine Carol's age, you need to find the age of Jim's niece. We know that Jim is 45 years old and is 10 years older than 5 times his niece's age.
Let's assume the niece's age is represented by the variable "x".
Therefore, 5 times the niece's age is 5x.
Jim's age is 10 years older than that, so we can write this as: 5x + 10.
We know that Jim's age is 45, so we can set up an equation: 5x + 10 = 45.
To find the value of x, we can solve this equation.
Subtracting 10 from both sides, we have: 5x = 45 - 10, which simplifies to 5x = 35.
Then, dividing both sides by 5, we find that x = 7.
Therefore, Carol's age, who is Jim's niece, is 7 years old.