Last month, a sporting goods store sold a total of 100 T-shirts and running shorts. The number of T-shirts sold was 10 more than twice the number of running shorts sold. How many T-shirts and running shorts did the store sell separately?

Question

Last month, a sporting goods store sold a total of 100 T-shirts and running shorts. The number of T-shirts sold was 10 more than twice the number of running shorts sold. How many T-shirts and running shorts did the store sell separately?
 A. 
T-shirts: 30, Running shorts: 70
 B. 
T-shirts: 45, Running shorts: 55
 C. 
T-shirts: 55, Running shorts: 45
 D. 
T-shirts: 70, Running shorts: 30

GPT 3.5 · Answer

Let's assume the number of running shorts sold is x.
According to the problem, the number of T-shirts sold is 10 more than twice the number of running shorts sold, so it is 2x + 10.
The total number of T-shirts and running shorts sold is 100, so we can write the equation:
x + 2x + 10 = 100
Combining like terms: 3x + 10 = 100
Subtracting 10 from both sides: 3x = 90
Dividing both sides by 3: x = 30
So, the number of running shorts sold is 30, and the number of T-shirts sold is 2(30) + 10 = 70.
Therefore, the correct answer is:
D. T-shirts: 70, Running shorts: 30