Question

Daejoy and Damian collect fossils. Before they went on a fossil-hunting trip, Daejoy had 25 fossils in her collection, and Damian had 16 fossils in his collection. On a 10-day fossil-hunting trip, they each collected 2 new fossils each day.

a. Make a table showing how many fossils each person had in their collection at the end of each day.
b. If this pattern of fossil finding continues, how many fossils does Damian have when Daejoy has F fossils?
c. If this pattern of fossil finding continues, how many fossils does Damian have when Daejoy has 55 fossils?

Answer 1

Answer: a) 45, 36 respectively, b) F-9, c) 46

Explanation:

Since we have given that

Number of fossils Daejoy had in her collection = 25

Number of fossils Damian had in her collection = 16

On a 10 day fossil hunting trip, number of new fossils on each day = 2

a) So, Total number of fossils Daejoy had after 10 days is given by

`25+2* 10\\\\=25+20\\\\=45`

Total number of fossils Damian had after 10 days is given by

`16+2* 10\\\\=16+20\\\\=36`

b) If Daejoy had F fossils, then we need to find the number of fossils Damian had.

Since difference between Daejoy and Damian is

`45-36=9`

So, Number of fossils Damian had is F-9.

c. If this pattern of fossil finding continues, how many fossils does Damian have when Daejoy has 55 fossils?

Number of fossils Daejoy had = 55

So, the number of fossils Damian had

`55-9=46`

Hence, a) 45, 36 respectively, b) F-9, c) 46