4. Luis and Stacy each contributed money to pay for a trip. They contributed a total of $480, and Luis contributed $30 more than twice the amount that Stacy contributed. How much money did Luis contribute for the trip?
Answer: D
Luis contributed $330 for the trip.
To determine the amount Luis contributed, we can set up an equation based on the information given. Let \( S \) be the amount Stacy contributed. Then, Luis's contribution can be expressed as \( 2S + 30 \). The total contributions sum up to $480, leading to the equation \( S + (2S + 30) = 480 \). Solving this gives us \( S = 150 \) and thus \( 2S + 30 = 330 \).
A) $150
This option represents the amount Stacy contributed, not Luis. Given that Luis contributed $30 more than twice what Stacy paid, this cannot be the correct answer.
B) $230
While this amount could be a plausible figure, it does not satisfy the conditions of the problem. If Luis contributed $230, then according to the equation, Stacy would have contributed significantly less than what is required to total $480 when combined with Luis's contribution.
C) $300
This amount, although a considerable figure, does not meet the criteria set in the problem. If Luis had contributed $300, that would mean Stacy contributed only $180, which does not satisfy the condition that Luis contributed $30 more than twice Stacy's contribution.
D) $330
This is the correct answer as it satisfies all given conditions. If Luis contributed $330, then Stacy would have contributed $150. This aligns with the requirement that Luis's contribution is $30 more than twice Stacy's contribution, as \( 2(150) + 30 = 330 \).
Conclusion
Luis's contribution of $330 is the only option that fulfills the conditions laid out in the problem. All other options either misinterpret the contributions or do not satisfy the total required for the trip. Hence, option D is definitively the correct answer.