Chris Nazarro had total travel expenses of $872. His transportation cost was $136. The hotel cost was $210 and business materials cost $500. If his lunch cost 30% of his dinner, how much was dinner to the nearest cent?

total travel expenses of $872

transportation cost was $136, the hotel cost was $210 and business materials cost $500, total of these 3: $136 + $210 + $500 = $846

$872 - $ 846 = $26

So his lunch and dinner cost $26

But his lunch cost 30% of his dinner

Lets x is dinner cost

Lunch 30% of dinner cost = 0.3x

x + 0.3x = $26

1.3x = $26

x = $26/1.3

x = $20

So dinner cost $20

Lunch: 0.3x = 0.3 (20) = $6