The ratio of Neena's money to Linda's money was 3:2 at first. After Neena spent $40.00, they had a ratio of 1:2. How much money did they have altogether at first?

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given