Question

lena and carlos are both saving money to buy new bikes. lena starts with no money at all and saves 10 a week. carlos already has 40 and saves 6 per week. the week that they both have the same amount of money, how much money will they each have? (do not use any dollar signs in your answer.)

Explanation:

Step1: Set up an equation

Let the number of weeks be $x$. Lena's savings is $10x$ and Carlos's savings is $40 + 6x$. We set them equal: $10x=40 + 6x$.

Step2: Solve for $x$

Subtract $6x$ from both sides: $10x-6x=40+6x - 6x$, which simplifies to $4x = 40$. Then divide both sides by 4: $x=\frac{40}{4}=10$.

Step3: Find the amount of money they each have

Substitute $x = 10$ into Lena's savings formula $10x$. So the amount is $10\times10 = 100$.

Answer:

100