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?
p+m = 229
m = p-63
now solve as usual
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
Let's assume the number of physics textbooks sold as X.
According to the problem, the number of math textbooks sold is 63 less than the number of physics textbooks sold. Therefore, the number of math textbooks sold is X - 63.
The combined total of physics and math textbooks sold is given as 229.
So, the equation becomes:
X + (X - 63) = 229
Simplifying the equation, we have:
2X - 63 = 229
Adding 63 to both sides, we get:
2X = 229 + 63
2X = 292
Dividing both sides by 2, we find:
X = 146
Therefore, the number of physics textbooks sold is 146.
To find the number of math textbooks sold, we substitute the value of X back into the equation:
146 - 63 = 83
So, the number of math textbooks sold is 83.
In conclusion, 146 physics textbooks and 83 math textbooks were sold.
To solve this problem, we can use a system of equations. Let's let "x" represent the number of physics textbooks sold and "y" represent the number of math textbooks sold.
From the information given, we know that the total number of textbooks sold is 229. Therefore, we can write the equation:
x + y = 229
We also know that the number of math textbooks sold was 63 less than the number of physics textbooks sold. Using this information, we can write another equation:
y = x - 63
Now we have a system of two equations:
x + y = 229
y = x - 63
To solve this system, we can substitute the second equation into the first equation:
x + (x - 63) = 229
Simplifying this equation:
2x - 63 = 229
2x = 229 + 63
2x = 292
x = 292/2
x = 146
Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the equation y = x - 63:
y = 146 - 63
y = 83
Therefore, 146 physics textbooks and 83 math textbooks were sold.