Question

Lily and Laura pooled their money to purchase their brother, Liam, a video game. The video game cost a total of $45. If Laura was only able to contribute LaTeX: \(\frac{2}{3}\) of what Lily did, how much did Laura put towards the present?

A. $18
B. $21
C. $24
D. $27

Answer 1

D. $27. Laura put $27 towards the present.

Step-by-step explanation:

In this problem, we are told that Laura was only able to contribute LaTeX: \(\frac{2}{3}\) of what Lily did. Let's say that Lily contributed 'x' dollars towards the present. This means that Laura contributed \(\frac{2}{3}x\) dollars. Since the total cost of the video game is $45, we can set up the equation: \(x + \frac{2}{3}x = 45\). To solve for 'x', we can combine like terms: \(\frac{5}{3}x = 45\). Now, we can solve for 'x' by multiplying both sides of the equation by \(\frac{3}{5}\): \(x = \frac{45 \cdot 3}{5} = 27\). Therefore, Laura put $27 towards the present.