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Ava Made 100 cranes and B made 3/4 of the number of the paper cranes to Ava. Ava gave 9/20 of her cranes to B. Then, B gave 1/4 of her paper to Ava. How many more cranes did B have than Ava in the end?

Respuesta :

Answer:

B have 5 more cranes than Ava.

Step-by-step explanation:

As per question statement:

Number of cranes with Ava = 100

Number of cranes with B = [tex]\frac{3}{4}[/tex] of the paper cranes that Ava has

[tex]\therefore[/tex] Number of cranes with B = [tex]\frac{3}{4}\times 100 =75[/tex]

Now, let us proceed step by step.

Step 1: Ava gave [tex]\frac{9}{20}[/tex] of her cranes to B:

i.e. [tex]\frac{9}{20} \times 100 = 5 \times 9 =45[/tex] cranes given to B

Now, number of cranes with Ava = 100 - 45 = 55

Number of cranes with B = 75 + 45 = 120

Step 2: B gave [tex]\frac{1}{4}[/tex] of her paper cranes to Ava:

i.e. [tex]\frac{1}{4} \times 120 = 30[/tex] cranes given to B

Now, number of cranes with Ava = 55 + 30 = 85

Number of cranes left with B =  120 - 30 = 90

So, the answer is:

Number of cranes that B have more than that of Ava = 90 - 85 = 5