Question

12. A photocopier enlarges by a ratio of 7: 4. A picture
measures 6 cm by 4 cm. How many consecutive
enlargements can be made so that the largest possible
picture will fit on a sheet measuring 30 cm by 20 cm?​

Answer 1

Answer: 2 enlargments

Step-by-step explanation:

Use proportion for each enlargment you do

Side a=6cm                      Side b=4cm

6:4=x:7                             4:4=b1:7

7*6=4a1                             b1=28/4

a1=42/4                              b1=7 after first enlrge

a1=10.5 after first enlarge        7:4=b2:7

10.5:4=a2:7                         b2=49/4

a2=73.5/4                           xb2=12.5 after 2nd enlarge

a2=18.375  after 2nd enlarge                          

                                             12.5:4=b3:7

18,375:4=a3:7                       b3=21.875 cm after 3rd enlargement

a3=32.15after 3rd enlargement

Values after 3rd enlargement are higher than dimension given for picture wall

30 cm by 20 cm