Valerie is ordering salads and drinks for her friends. Salads cost $7 each, drinks cost $3 each, and there is a $5 delivery charge per order. She has $50. She buys 3 salads, and wants to figure out the maximum number of drinks she can buy.If x = number of salads and y = number of drinks, which of the following inequalities could you use to answer the problem?
Question
Valerie is ordering salads and drinks for her friends. Salads cost 3 each, and there is a 50. She buys 3 salads, and wants to figure out the maximum number of drinks she can buy.If x = number of salads and y = number of drinks, which of the following inequalities could you use to answer the problem?
Solution
The inequality that could be used to solve this problem is 7x + 3y + 5 ≤ 50.
Here's why:
- The cost of each salad (x) is $7, so the total cost for salads is 7x.
- The cost of each drink (y) is $3, so the total cost for drinks is 3y.
- There is a $5 delivery charge for the order, which is a flat fee.
- The total amount Valerie can spend is $50.
So, the total cost of the salads, drinks, and delivery charge must be less than or equal to $50. This gives us the inequality 7x + 3y + 5 ≤ 50.
In this case, x is already defined as 3 (since Valerie buys 3 salads), so the inequality becomes 7*3 + 3y + 5 ≤ 50, or 21 + 3y + 5 ≤ 50. This simplifies to 3y + 26 ≤ 50, and then to 3y ≤ 24 after subtracting 26 from both sides.
Finally, to find the maximum number of drinks (y), divide both sides by 3 to get y ≤ 8. So, Valerie can buy up to 8 drinks.
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