Question

Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears. How many pieces of fruit could Charlie gather? On both answers given no one mentions the pears:/ and 10 partners means 5 apples and 5 plums because 5+5=10 plus 5 pears (10+5=15) 15 fruits. Does that sound right or am I missing something?

Answer 1

Answer:  Yes, there is something missing.

Step-by-step explanation:  Given that Charlie gathers apples pears and plums. The number of apples and plums are 10 partners, there are the same number of apples and pears.

Since there are 10 partners of apples and plums, so

number of apples = number of plums = 10.

Also, number of apples and number of pears are same, therefore, number of pears = 10.

Thus, total number of fruits = 10+10+10 = 30.

Hence, Charlie couls gather 30 fruits.

So, this was missing in the calculation.

Answer 2

Charlie can be made to gather more fruit by maximizing the number of

apples gathered which gives a total of 19 fruits.

Response:

• The number of pieces of fruit Charlie could gather is 19

Which method is used for solving the word problem?

The question is a word problem

Number partners of 10 are numbers that add up to 10

Therefore;

The number of apples + The number of plums = 10

The number of apples = The number pears

Required:

The number of pieces of fruit Charlie could gather

Solution:

Let x represent the number of apples, gathered, we have the following equations;

The number of plums = 10 - x

The number of pears = x

Which gives;

Total number of fruit = x + 10 - x + x = 10 + x

Where;

1 ≤ x ≤ 9

The maximum number of fruit Charlie can gather is therefore, when x = 9,  which gives;

• Maximum number of fruit = 10 + 9 = 19

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