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?
Luis contributed $330 for the trip.
To solve the problem, we can set up an equation based on the information provided. If we let Stacy's contribution be represented as \( x \), then Luis's contribution can be expressed as \( 2x + 30 \). The equation \( x + (2x + 30) = 480 \) leads us to find \( x \) and subsequently calculate Luis's contribution.
If Luis contributed $150, we can determine Stacy's amount using the equation \( 150 = 2x + 30 \), leading to \( 2x = 120 \) or \( x = 60 \). Adding these amounts gives \( 150 + 60 = 210 \), which does not match the total of $480.
If Luis contributed $230, we substitute into the equation \( 230 = 2x + 30 \). Solving this gives us \( 2x = 200 \) or \( x = 100 \). Together, they would total \( 230 + 100 = 330 \), which is still less than $480.
Assuming Luis contributed $300 leads us to \( 300 = 2x + 30 \). This simplifies to \( 2x = 270 \) or \( x = 135 \). Adding these contributions results in \( 300 + 135 = 435 \), which again does not equal the required total of $480.
With Luis contributing $330, we can find Stacy's contribution using the equation \( 330 = 2x + 30 \). Rearranging gives \( 2x = 300 \) or \( x = 150 \). Together, they contribute \( 330 + 150 = 480 \), which satisfies the total amount contributed for the trip.
The analysis shows that the only valid solution is that Luis contributed $330, while Stacy contributed $150, summing to the required total of $480. The other options do not satisfy the conditions set by the problem, confirming that option D is indeed correct.
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