Felicia started with 30 pieces of candy and gave away x pieces. Nacho started with 70 pieces of candy and gave away five times as many as Felicia did. Nacho and Felicia now have the same number of pieces of candy. How many pieces of candy did Felicia gave away?

10

Step-by-step explanation:

According to the first sentence:

30- x =y

Rearranging the equation:

x+y =30(1)

According to the second sentence:

70- 5x =y

Rearranging the equation:

5x +y=70(2)

Using the elimination method:

Subtract (2) from (1) as follows:

4x =40

x = 40/4

x =10

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.