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A picturesque scene of a sports match happening under the blue sky. On the field, two teams are seen in action. Filled with energy and enthusiasm, half the players wear yellow jerseys while the other half wear green. In the blurred, the crowd in the stands can be seen cheering enthusiastically. Demonstrate a balance scale in ethereal fog on the side of the field, with two plates. One plate is lower, symbolizing the 'games won' - depict this with double the amount of small trophy icons compared to the other plate, representing the 'games lost'. Decorate the outskirts of the image with 42 small football icons, signifying the total number of games.

Sports team won twice as many games as they lost. The sum of games won and games lost was 42 games. How many games did they win?

games lost --- x

games won --- 2x

solve
x + 2x = 42

Won 28

Lost14

14

Won 28

Lost 14

85

To determine the number of games won by the sports team, we need to set up a system of equations.

Let's say the number of games won is represented by 'W', and the number of games lost is represented by 'L'.

From the given information, we know that the team won twice as many games as they lost. Mathematically, we can write this as:

W = 2L ---(Equation 1)

Additionally, we are given that the sum of games won and games lost is 42 games. Mathematically, we can write this as:

W + L = 42 ---(Equation 2)

Now, we can solve this system of equations to find the values of W and L.

Using Equation 1, we substitute the value of W from Equation 2 into Equation 1:

2L + L = 42
3L = 42
L = 42/3
L = 14

Now, substitute the value of L back into Equation 1 to find the value of W:

W = 2L
W = 2(14)
W = 28

Therefore, the sports team won 28 games.

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