The sum of two consecutive integers is 37. write an equation that models this situation and find the values of the two integers.
a. n + 2n = 37; n = 12; 2n = 24
b. n + n + 1 = 37; n = 18; n + 1 = 17
c. n + n + 1 = 37; n = 18; n + 1 = 19
d. n + n + 1 = 37; n = 19; n + 1 = 20

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false