Make these two equations: 5x = 20, and x/4= 8 and put both of them into real-life Problems that can be represented by it
Equation 1: 5x = 20
Real-life problem: The cost for a movie theater ticket is $20, and your goal is to determine how many tickets you can buy with $100.
Explanation: Let's assume the cost of a movie theater ticket is represented by "x". In this case, the equation 5x = 20 is used to find the value of "x" (the cost per ticket). By rearranging the equation, you can solve for "x" as follows:
5x = 20
x = 20/5
x = 4
So, the cost of each movie theater ticket is $4. To find out how many tickets you can buy with $100, you divide the total amount by the cost per ticket:
Number of tickets = Total amount / Cost per ticket
Number of tickets = $100 / $4
Number of tickets = 25
Therefore, with $100, you can buy 25 movie theater tickets.
Equation 2: x/4 = 8
Real-life problem: You are organizing a charity event, and you need to distribute 320 sandwiches equally among volunteers, so each person receives 8 sandwiches.
Explanation: In this case, "x" represents the total number of sandwiches. To determine the value of "x", the equation x/4 = 8 is used. By rearranging the equation, you can solve for "x" as follows:
x/4 = 8
x = 4 * 8
x = 32
So, the total number of sandwiches is 32. To distribute the sandwiches among the volunteers equally, you divide the total number of sandwiches by the number of sandwiches per person:
Number of volunteers = Total number of sandwiches / Number of sandwiches per person
Number of volunteers = 32 / 8
Number of volunteers = 4
Therefore, if you have 320 sandwiches, and each person should receive 8 sandwiches, you can distribute them equally among 4 volunteers.
Make it simpler.
Equation 1: 5x = 20
Real-life problem: You have 20 cookies and want to divide them equally among your friends. Each person will receive 5 cookies. How many friends can you share the cookies with?
Explanation: Let's assume "x" represents the number of friends. In this case, the equation 5x = 20 is used to find the value of "x" (the number of friends). By rearranging the equation, you can solve for "x" as follows:
5x = 20
x = 20/5
x = 4
So, you can share the 20 cookies equally among 4 friends.
Equation 2: x/4 = 8
Real-life problem: You have 8 pens and want to distribute them equally among your classmates. Each classmate will receive 4 pens. How many classmates do you have?
Explanation: In this case, "x" represents the number of classmates. To determine the value of "x", the equation x/4 = 8 is used. By rearranging the equation, you can solve for "x" as follows:
x/4 = 8
x = 4 * 8
x = 32
So, you have 32 classmates, and you can distribute the 8 pens equally among them, with each classmate receiving 4 pens.
Sure! Let's create real-life problems that can be represented by the given equations:
Equation 1: 5x = 20
Real-life problem: Let's say you are going to a bookstore to purchase some books. The books you want to buy are all priced the same. The equation 5x = 20 represents the situation where you buy x number of books, and the total cost for those books is $20. Each book costs the same amount.
Equation 2: x/4 = 8
Real-life problem: Imagine you are planning a road trip with your friends, and you want to calculate how long it will take to reach your destination. The equation x/4 = 8 represents the situation where x represents the distance you need to travel. The equation states that if you divide the distance you need to travel by 4, the result will be 8. In this case, x would equal 32, which means you need to cover a distance of 32 miles to reach your destination.
By creating these real-life problems, we can relate the given equations to practical scenarios and understand how we can interpret and solve them.