Question

Toby and Marcus both collect stamps. Toby has 10 stamps and collects 4 new stamps every week. Marcus has 60 stamps and collects 2 new stamps every week. After how many weeks will Toby and Marcus have the same number ?

Answer 1

25 weeks will Toby and Marcus have the same number of stamps

Step-by-step explanation:

No of stamps collected by Toby initially= 10

No of stamps Toby collects every week= 4

No of stamps Marcus has initially= 60

No of stamps Marcus collects each week=2

Suppose the no of week when Toby and Marcus have the same number of stamps are x

Hence no of stamps collected by Toby after x weeks

=10+4x

No of stamps collected by Marcus after x weeks

=60+2x

Therefore to calculate the same of stamps collected by Toby and Marcus

No of stamps collected by Toby after x weeks= No of stamps collected by Marcus after x weeks

10+4x =60 +2x

4x-2x= 60-10

2x=50

x=25

Hence after 25 weeks Toby and Marcus will have the same number of stamps