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Answer :
an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy is [tex]1.25x +2.5y=25[/tex] .
Step-by-step explanation:
Here we have , Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game hot dogs cost $1.25 each, hamburgers cost $2.50 each, soda cost $0.50 each. Each person buys one soda. We need to Write an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy. Let's do this:
Given that Each person buys one soda and soda cost $0.50 each , So for 7 persons soda cost :
⇒ [tex]7(0.50)[/tex]
⇒ [tex]3.5\$[/tex]
So , According to question given equation will be :
⇒ [tex]3.5 + 1.25x +2.5y=28.5[/tex] , where x & y is number of hot dogs & hamburgers!
⇒ [tex]1.25x +2.5y=25[/tex]
So , an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy is [tex]1.25x +2.5y=25[/tex] .
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Rewritten by : Barada
The equation representing the number of hot dogs (x) and hamburgers (y) Zeke and his friends can buy is: 1.25x + 2.50y = 25.00.
To write an equation that determines the number of hot dogs (x) and hamburgers (y) Zeke and his friends can buy, we need to consider the total amount of money they have and the cost of each item.
Let's denote:
- Cost of a hot dog = $1.25
- Cost of a hamburger = $2.50
- Cost of a soda (each person buys one) = $0.50
We need to find the number of hot dogs (x) and hamburgers (y) that they can buy with $28.50 total.
We can write the equation as follows:
Total amount spent on hot dogs (1.25x) + Total amount spent on hamburgers (2.50y) + Total amount spent on sodas (0.50 * 7) = Total amount of money they have
So, the equation becomes:
1.25x + 2.50y + 0.50 x 7 = 28.50
Now, let's solve this equation step by step:
1. First, calculate the total amount spent on sodas: 0.50 x 7 = $3.50
So, the equation becomes:
1.25x + 2.50y + 3.50 = 28.50
2. Next, subtract $3.50 from both sides to isolate the terms involving x and y:
1.25x + 2.50y = 28.50 - 3.50
1.25x + 2.50y = 25.00
Now, we have the equation:
1.25x + 2.50y = 25.00
This equation represents the relationship between the number of hot dogs (x) and hamburgers (y) that Zeke and his friends can buy with $28.50 total.
