Alice takes 1/3 of the pennies from the jar. Then Brett takes 1/3 of the remaining pennies from the jar. Finally, Carla takes 1/3 of the remaining pennies from the jar, leaving 40 pennies in the jar. How many pennies were in the door at the start?

Question

Mathematics

Livia

27 March, 00:20

Alice takes 1/3 of the pennies from the jar. Then Brett takes 1/3 of the remaining pennies from the jar. Finally, Carla takes 1/3 of the remaining pennies from the jar, leaving 40 pennies in the jar. How many pennies were in the door at the start?

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Answers (1)

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Sasha Wyatt · Answer 1

135 pennies

Step-by-step explanation:

x = pennies in the door at the start

x-1/3x-1/3 (x-1/3x) - 1/3 (x-1/3x-1/3 (x-1/3x)) = 40

x = 135

Proof: 135-45-20 = 40

135-45=90

90=30=60

60-20=40