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Juan vende 5 kilos de aguacate en 200 pesos y 20 kilos en 800 pesos. ¿En cuánto debe vender 12 kilos?

A. 240
B. 400
C. 480
D. 840

Answer :

Sure! Let's solve the problem step-by-step to find out how much Juan should charge for 12 kilos of avocados.

1. Understand the pricing given:
- Juan sells 5 kilos of avocados for 200 pesos.
- Juan sells 20 kilos of avocados for 800 pesos.

2. Calculate the price per kilo:
- For 5 kilos: The price per kilo is [tex]\( \frac{200 \text{ pesos}}{5 \text{ kilos}} = 40 \text{ pesos per kilo} \)[/tex].
- For 20 kilos: The price per kilo is [tex]\( \frac{800 \text{ pesos}}{20 \text{ kilos}} = 40 \text{ pesos per kilo} \)[/tex].

3. Determine the price for 12 kilos:
- Since the price per kilo is consistent (40 pesos per kilo), we use this rate to calculate the cost for 12 kilos.
- Multiply the price per kilo by the number of kilos: [tex]\( 12 \text{ kilos} \times 40 \text{ pesos per kilo} = 480 \text{ pesos} \)[/tex].

So, the price for 12 kilos of avocados should be 480 pesos. The correct answer is c) 480.

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Rewritten by : Barada

To determine how much Juan should charge for 12 kilograms of avocado, we can use the concept of unit rates. Let's break down the problem:

  1. Determine the rate per kilogram:

    We know that Juan sells 5 kilograms for 200 pesos. The cost per kilogram in this scenario is calculated by dividing the total cost by the number of kilograms:

    [tex]\text{Rate per kilogram} = \frac{200 \text{ pesos}}{5 \text{ kilograms}} = 40 \text{ pesos per kilogram}[/tex]

    Similarly, he sells 20 kilograms for 800 pesos, and the cost per kilogram here is:

    [tex]\text{Rate per kilogram} = \frac{800 \text{ pesos}}{20 \text{ kilograms}} = 40 \text{ pesos per kilogram}[/tex]

    Since both scenarios provide the same rate of 40 pesos per kilogram, we can confidently use this rate to find out the cost for 12 kilograms.

  2. Calculate the cost for 12 kilograms:

    Multiply the number of kilograms Juan wants to sell (12 kg) by the rate per kilogram:

    [tex]\text{Cost for 12 kg} = 12 \text{ kilograms} \times 40 \text{ pesos per kilogram} = 480 \text{ pesos}[/tex]

Conclusion:

Juan should sell 12 kilograms of avocado for 480 pesos.

Therefore, the correct answer is option C. 480.

To solve this problem, we need to determine the price per kilo of avocado that Juan is selling at both given rates and figure out the price for 12 kilos.

First, let's determine the price per kilo for each of the two situations given:

  1. 5 kilos for 200 pesos:

    • The price per kilo is calculated by dividing the total cost by the number of kilos:
      [tex]\text{Price per kilo} = \frac{200 \text{ pesos}}{5 \text{ kilos}} = 40 \text{ pesos per kilo}[/tex]

  2. 20 kilos for 800 pesos:

    • Similarly, the price per kilo here is:
      [tex]\text{Price per kilo} = \frac{800 \text{ pesos}}{20 \text{ kilos}} = 40 \text{ pesos per kilo}[/tex]

Both calculations indicate a consistent price of 40 pesos per kilo.

Now, using this price per kilo, we can calculate the cost of 12 kilos:

  • Multiply the number of kilos by the price per kilo:
    [tex]12 \text{ kilos} \times 40 \text{ pesos per kilo} = 480 \text{ pesos}[/tex]

Therefore, Juan should sell 12 kilos of avocado for 480 pesos.

Thus, the correct answer is option C. 480.