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Suppose Hank’s football team scored 7 touchdowns in Friday’s game. This was th more than 1/2 the touchdowns scored by Del Valle’s team. How many touchdowns Del Valle score? Who won? Which equation best represents the situation?

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Answer:

To find out how many touchdowns Del Valle's team scored, we can set up an equation based on the information given:

Let x be the number of touchdowns Del Valle's team scored.

Given that Hank's team scored 7 touchdowns, we can express this as:

7 = (1/2)x + x

To solve for x, we first simplify the equation:

7 = (1/2)x + x

7 = (3/2)x

Next, we isolate x by multiplying both sides by 2/3:

(2/3) 7 = (2/3) (3/2)x

14/3 = x

Therefore, Del Valle's team scored 14/3 touchdowns, which is equivalent to 4.67 touchdowns. Since they can't score a fraction of a touchdown, we round down to 4 touchdowns.

So, Del Valle's team scored 4 touchdowns, and Hank's team scored 7 touchdowns. In this scenario, Hank's team won the game.

The equation that best represents the situation is:

7 = (1/2)x + x

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