p+m = 229
m = p-63
now solve as usual
A textbook store sold a combined total of 229 physics and math textbooks in a week. The number of math textbooks sold was 63 less than the number of physics textbooks sold. How many textbooks of each type were sold?
2 answers
m = math textbooks
p = physics textbooks
A textbook store sold a combined total of 229 physics and math textbooks in a week means:
m + p = 229
The number of math textbooks sold was 63 less than the number of physics textbooks sold means:
m = p - 63
Replace m with p - 63 in equation
m + p = 229
p - 63 + p = 229
2 p - 63 = 229
Add 63 to both sides
2 p = 292
p = 292 / 2 = 146
m = p - 63 = 146 - 63 = 83
83 math textbooks
146 physics textbooks
p = physics textbooks
A textbook store sold a combined total of 229 physics and math textbooks in a week means:
m + p = 229
The number of math textbooks sold was 63 less than the number of physics textbooks sold means:
m = p - 63
Replace m with p - 63 in equation
m + p = 229
p - 63 + p = 229
2 p - 63 = 229
Add 63 to both sides
2 p = 292
p = 292 / 2 = 146
m = p - 63 = 146 - 63 = 83
83 math textbooks
146 physics textbooks