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Frazer spent some time building a wall with 650 bricks in. On the first day, he managed to lay 243. He got more and more tired each day and only managed to lay 2/3 of the number of as the day before. How many days did it take him to build the wall?

Captain Salamander is also building a wall with 650 bricks in it. On the first day, he manages to lay 180 bricks. He also gets tired each day and lays 22 fewer bricks than the day before. Who builds the wall before.
You can make a chart with 6 days, Frazer bricks layed, Frazer total number, Captain bricks layed, captain total number.
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Answer:

1) 6 days

2) Captain Salamander

Step-by-step explanation:

1) a = 243

r = ⅔

Sn = 650

650 = 243[(⅔)^n - 1]/(⅔ - 1)

(⅔)^n = 79/729

n ln(2/3) = ln(79/729)

n = 5.480683381

2) a = 180

d = -22

S5 = (5/2)[2(180) + 4(-22)]

S5 = 680 > 650

Captain Salamander is done within 5 days

Hence table for 6 days states

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

what is word problem?

A word issue is the challenge of determining if two supplied expressions are comparable with respect to a set of rewriting identities in computer mathematics. The word problem for groups is a classic example, although there are numerous other examples.

How to solve?

Given two people frazer and Captain Salamander  who have to lay bricks but get tired after every round

for farzer speed is 2/3 of bricks every time

and Captain salamander has speed of 22 tiles less in every round hence equation becomes - 2/3 previous day

and for captain  Salamander  it is previous day-22

hence table becomes

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

Learn more about word probems

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