Aiden has $200 with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get 40 hats. If Aiden purchases only t-shirts, he will get 80t-shirts. Which of the following best models the relationship between the number of hats, h, and the number of t-shirts, t, that Aiden could purchase with this money? Choose 1 answer: (A) 40 h+80 t=400 (B) 80 h+40 t=200 (C) 5h+2.5 t=200 (D) 2.5 h+5t=200

Question

Aiden has  $200 with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get 40 hats. If Aiden purchases only  t-shirts, he will get  80t-shirts. Which of the following best models the relationship between the number of hats,  h, and the number of  t-shirts,  t, that Aiden could purchase with this money? Choose 1 answer: (A)  40 h+80 t=400 (B)  80 h+40 t=200 (C)  5h+2.5 t=200 (D)  2.5 h+5t=200

Bytelearn · Accepted Answer

Calculate Hat Cost: Let's determine the cost of one hat. If Aiden can buy 40 hats with $200, then the cost of one hat is $200 divided by 40 hats. $200 / 40 hats = $5 per hat.Calculate T-shirt Cost: Now, let's determine the cost of one t-shirt. If Aiden can buy 80 t-shirts with $200, then the cost of one t-shirt is $200 divided by 80 t-shirts. $200 / 80 t-shirts = $2.50 per t-shirt.Create Cost Equation: We need to find an equation that models the relationship between the number of hats, h, and the number of t-shirts, t, that Aiden could purchase with $200. Since each hat costs $5 and each t-shirt costs $2.50, the total cost when Aiden buys h hats and t t-shirts would be 5h + 2.5t.Total Cost Equation: The total amount Aiden can spend is $200, so the equation that represents the total cost of h hats and t t-shirts is: 5h + 2.5t = $200.Match with Options: Now, let's match our equation with the given options. The correct equation is 5h + 2.5t = 200, which corresponds to option (C).

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