Tyronne has $60,his sister has $135 ,they get $5 each week ,tyronne saves his money ,while his sister spends hers ,they get additional $10 each week ,in how many weeks will they have the same amount?

In 5 weeks they will have the same amount.

Step-by-step explanation:

1. You have that Tyronne has $60, she gets $5 each week and also gets an additional $10 each week. She saves her money. Therefore, you can write the following expression:

Where is the number of weeks.

2. Her sister has $135, she gets $5 each week and also gets an additional $10 each week, but she spends this money. Therefore:

3. If this amounts of money will be equal, you have:

4. Therefore, in 5 weeks they will have the same amount.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.