Alejandro and his children went into a grocery store and will buy apples and mangos. Each apple costs $2 and each mango costs $1. Alejandro has a total of $20 to spend on apples and mangos. Write an inequality that would represent the possible values for the number of apples purchased, a, and the number of mangos purchased, m. Answer:

Question

Alejandro and his children went into a grocery store and will buy apples and mangos. Each apple costs  $2 and each mango costs  $1. Alejandro has a total of  $20 to spend on apples and mangos. Write an inequality that would represent the possible values for the number of apples purchased,  a, and the number of mangos purchased,  m. Answer:

Bytelearn · Accepted Answer

Denote Variables: Let's denote the number of apples Alejandro buys as a and the number of mangos as m. Each apple costs $2, so the total cost for apples is 2a. Each mango costs $1, so the total cost for mangos is m. Alejandro has $20 to spend, so the combined cost of apples and mangos should be less than or equal to $20.Write Inequality: We can write the inequality that represents the total spending on apples and mangos as: 2a + m ≤ 20 This inequality shows that the amount Alejandro spends on 2 dollars per apple plus 1 dollar per mango should not exceed 20 dollars.Check Math Errors: To check for any math errors, let's consider a simple case. If Alejandro buys no mangos (m = 0), he could buy up to 10 apples (a = 10) since 2 * 10 = 20, which satisfies the inequality 2a + m ≤ 20. Similarly, if he buys no apples (a = 0), he could buy up to 20 mangos (m = 20) since 1 * 20 = 20, which also satisfies the inequality. This confirms that our inequality is set up correctly.

Full solution

More problems from One-step inequalities: word problems

Related topics