Suvrato August 8, 2023 - 19:18

Question 1:

A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed,
the ratio becomes 3 to 2. How many red tomatoes were there originally in the bag?

Answer:

ans: 15.

Explanation:

Since green tomatoes : red tomatoes = 4: 3

Let, Green tomatoes = 4x and Red tomatoes = 3x
According to question, $\frac{4x-5}{3x-5}=\frac{3}{2}$

=> x = 5

Red tomatoes 3x = 3 x 5 = 15

Question 2:

Kalim is asked to write a study guide for a textbook. For his work, the publishing company is giving him a choice of a one-time payment of Tk 13,375 or Tk 2,000 plus 10% royalties per copy sold. If the proposed royalty rate results in a royalty of Tk 3.25 per
study guide sold, how many study guides need to be sold for the total income received by Kalim to be the same from either choice?

Answer:

ans: 3500.

Explanation:

Let, Total number of study guide need to be sold = x
According to question,
=> 2000 + 3.25x = 13,375
=> $\frac{11375}{3.25}$
x = 3500

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