Variation Worksheet Solution1





In this page variation worksheet solution1 we are going to see solution of practice questions from the worksheet variation worksheet.

Question 1

If the cost of 8 kgs of rice is $ 160, then the cost of  18 kgs rice is

Solution:

Let "x" be the required cost

             Quantity of rice                          Cost of rice (per kg)

                     8 kg                                           $ 160

                   18 kg                                                x

As the quantity of rice increases the cost of rice increases. It is in direct variation.

                  8 x x  = 18 x 160

                       X = (18 x 160)/8

                       x = 2880/8

                       x = 360

(1) $ 480

(2) $ 180

(3) $ 360

(4) $ 1280   


Question 2

If the cost of 7 mangoes is $ 35, then the cost of  15 mangoes is

Solution:

Let "x" be the required cost

               No of mangoes                          Cost of mangoes

                       7                                            $ 35

                      15                                              x

As the number of mangoes increases the cost of mangoes. It is in direct variation.

                  7 x x = 35 x 15

                       X = (35 x 15)/7

                       x = 525/7

                       x = 75

(1) $ 75

(2) $ 25

(3) $ 35

(4) $ 50     


Question 3

A train covers a distance of 195 km in 3 hours. At the same speed,the distance traveled in 5 hours is

Solution:

Let "x" be the distance traveled

               Distance traveled                       Time taken (in hours)

                       195                                       3 hours

                         x                                         5 hours

As the time taken by the train is increases the distance traveled is also increases

                  195 x 5 = x x 3

                (195 x 5)/3 = x

                  X = (195 x 5)/3

                  X = 975/3

                  x = 325

(1) 195 km

(2) 325 km

(3) 390 km

(4) 975 km    

variation worksheet solution1  variation worksheet solution1