En una huerta, el 20% de los kilos de fruta recogidos son limones, el 15% son peras, el 30% son nueces y el resto almendras. a) ¿Cuál es el porcentaje de almendras que se han recogido? b) Si en total se han recogido 140 kilos, ¿cuántos kilos se han recogido de cada fruto o fruto seco?

The percentage of almonds that have been collected is 35%.

Step-by-step explanation:

The question is:

In an orchard, 20% of the kilos of fruit collected are lemons, 15% are pears, 30% are walnuts and the rest are almonds. a) What is the percentage of almonds that have been collected? b) If a total of 140 kilos have been collected, how many kilos have been collected from each fruit or nut?

Solution:

Consider that the percentage of all the fruits and nuts together in a orchard is 100%.

Percentage of lemons = L% = 20%

Percentage of pears = P% = 15%

Percentage of walnuts = W% = 30%

Percentage of almonds= A%

Compute the percentage of almonds that have been collected as follows:

L% + P% + W% + A% = 100%

20% + 15% + 30% + A% = 100%

A% = 100% - 65%

A% = 35%

Thus, the percentage of almonds that have been collected is 35%.

The total weight of products collected is 140 kg.

Compute the weight of lemons collected as follows:

Compute the weight of pears collected as follows:

Compute the weight of walnuts collected as follows:

Compute the weight of almonds collected as follows:

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180