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
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
Let's use algebra to solve this problem.
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, the number of T-shirts sold can be represented as "2x + 10".
Since a total of 100 T-shirts and running shorts were sold, we can set up an equation:
x + (2x + 10) = 100
Simplifying the equation, we get:
3x + 10 = 100
Subtracting 10 from both sides of the equation:
3x = 90
Dividing both sides by 3:
x = 30
So, the number of running shorts sold is 30.
Now, let's substitute this value back into the expression for the number of T-shirts sold:
2x + 10 = 2(30) + 10 = 60 + 10 = 70
So, the number of T-shirts sold is 70.
Therefore, the correct answer is:
D. T-shirts: 70, Running shorts: 30
To solve this problem, we can set up a system of equations based on the given information.
Let's say the number of T-shirts sold is represented by 'T' and the number of running shorts sold is represented by 'R'.
According to the problem, the total number of T-shirts and running shorts sold is 100:
T + R = 100
It is also given that the number of T-shirts sold was 10 more than twice the number of running shorts sold:
T = 2R + 10
Now we can solve this system of equations to find the values of T and R.
Substituting the value of T from the second equation into the first equation, we get:
(2R + 10) + R = 100
3R + 10 = 100
3R = 90
R = 30
Substituting the value of R into the second equation, we get:
T = 2(30) + 10
T = 60 + 10
T = 70
Therefore, the number of T-shirts sold is 70 and the number of running shorts sold is 30.
So the correct answer is D. T-shirts: 70, Running shorts: 30.