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son4ous [18]
3 years ago
10

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

r the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week.Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options:Option A: Stay with saving the original amount each week but take the class a week later than originally planned.Option B: Increase the amount of money he saves each week by $15 from his original plan.Which of the following is a true statement?a. Only option A will allow him to meet his goal.b. Only option B will allow him to meet his goal.c. Both options A and B will allow him to meet his goal.d. Neither option A nor option B will allow him to meet his goal.
Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that Drake wants to save $750 so that he can take a class on computer analysis for cars.

He wants to save 125 per week for 6 weeks.

.Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470.

If he wants to have 750 after 6 weeks, he has to save \frac{750-470}{2} =140 $  per week

Or alternately he can save same 125 dollars so that he would have 750 $ in

3 weeks.

A: Stay with saving the original amount each week but take the class a week later than originally planned.Option B: Increase the amount of money he saves each week by $15 from his original plan.

Both are right.

c. Both options A and B will allow him to meet his goal.

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Given:

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Solution:

We have,

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All the factors of A are prime but the factors of B are not prime. So, it can be written as

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From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

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