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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=
=
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The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
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The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
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The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Multiply
.
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Simplify
=
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify
=
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify 
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify 
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify 
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify 
The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Simplify 
The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.
Simplify 
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.
Hence,
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.