Real-world problem: Suppose you have a bakery that sells cookies. You want to find out how many batches of cookies you need to bake in order to have a total of 10 cookies ready for sale. Each batch of cookies you bake yields 5 cookies, and you already have 7 cookies available.
Solution:
Let x be the number of batches of cookies to bake.
The equation representing the problem is 5x + 7 = 10.
To solve the equation:
1. Subtract 7 from both sides of the equation:
5x = 10 - 7
5x = 3
2. Divide both sides of the equation by 5:
x = 3/5
Therefore, you need to bake 3/5 of a batch of cookies to reach a total of 10 cookies for sale.
Write a real-world problem that you can model with the two-step equation 5x + 7 = 10. Then solve the problem.
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