Question

# Maria bought pounds of plums and grapes. The plums were total weight. The plums’ weight is

- pound
- pound
- pound
- pound

Hint:

### In the given question, total weight of grapes and plums bought by Maria is given. It is also provided that the plums were of the total weight. It is required to find the total weight of the plums. For that, we need to simply find of the total weight of plums and grapes, i.e., . So, we need to multiply by .

## The correct answer is: pound

### Step by step solution:

Given,

total weight of plums and grapes = pounds

weight fraction of the plums =

Thus, weight of the plums =

=

= = = (in its simplest form)

Thus, the plums' weight is pounds.

Thus, option (d) is the correct option.

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The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

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The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

### =

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.

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Thus, option (a) is the correct option.

### =

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.

Hence,

Thus, option (a) is the correct option.

### =

In the question, another approach could be that we can cut the 2 in the denominator of the first fraction by the 4 in the numerator of the second fraction and reduce the 4 to 2. Then, we get

Thus, we get option (c) as the correct option.

### =

In the question, another approach could be that we can cut the 2 in the denominator of the first fraction by the 4 in the numerator of the second fraction and reduce the 4 to 2. Then, we get

Thus, we get option (c) as the correct option.