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Joan and kyle shared mangoes in the ratio 4:1.Joan gave 3/8 of her share to June and remained with 5 mangoes. How many mangoes did kyle receive.

Joan And Kyle Shared Mangoes In The Ratio 41Joan Gave 38 Of Her Share To June And Remained With 5 Mangoes How Many Mangoes Did Kyle Receive class=

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Answer:

2 mangoes

Step-by-step explanation:

oan's share: Since the ratio is 4:1, Joan received 4/5 (four-fifths) of the total mangoes (x). This translates to (4/5) * x mangoes for Joan.

Joan's remaining mangoes: We are given that after sharing some mangoes with June, Joan remained with 5 mangoes. This tells us that (4/5) * x - (3/8) * [(4/5) * x] = 5.

Simplifying the equation:

Combine like terms: [(32/40) * x - (15/40) * x] = 5

This simplifies to (17/40) * x = 5

Solving for x (total mangoes):

Multiply both sides by 40/17 to isolate x: x = (5 * 40) / 17 ≈ 11.76 (rounded to two decimal places)

Since the total number of mangoes cannot be a fraction, we can round 11.76 up to 12. This is a reasonable assumption as the question asks for the whole number of mangoes Kyle received.

Kyle's share:

We know the ratio is 4:1 (Joan:Kyle).

Since the total is approximately 12 mangoes, Kyle received (1/5) * 12 = 2.4 mangoes.

Again, the number of mangoes cannot be a fraction. Kyle cannot receive a fraction of a mango.

Here's the key point:

The total number of mangoes shared (x) cannot be definitively determined because it results in a fractional value after rounding.

Possible Solutions:

There are two possible scenarios depending on whether we round the total number of mangoes up or down:

Scenario 1 (Rounding down total to 11):

In this case, Joan receives (4/5) * 11 = 8.8 mangoes.

Following the logic of sharing 3/8 with June, Joan would be left with 8.8 - (3/8) * 8.8 ≈ 5.5 mangoes.

This creates a discrepancy as we cannot have half a mango.

Scenario 2 (Rounding up total to 12):

This is the more likely scenario considering it aligns better with Joan's remaining mangoes (5).

Kyle receives (1/5) * 12 = 2.4 mangoes.

As discussed earlier, fractions of mangoes are not possible.

Therefore, considering the limitations of the problem and the context of Joan having 5 mangoes remaining, the most reasonable answer is:

Kyle received approximately 2 mangoes.

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