Two mandrills, Amy and Joe, were
born at the zoo. Each mandrill had a
birth mass of 1 kg. After Month 1,
Amy’s mass was 25% greater than her
birth mass. After Month 2, Amy’s mass
was 20% greater than her mass after
Month 1. After Month 1, Joe’s mass
was 20% greater than his birth mass.
After Month 2, Joe’s mass was 25%
greater than his mass after Month 1.
a) Which mandrill had the greater
mass after Month 2? Explain.
b) Could you have found Amy’s mass
after Month 2 by finding 145% of
her birth mass? Justify your answer.
Amy: 1, 1*1.25, 1*1.25*1.20
Joe: 1, 1*1.20, 1*1.20*1.25
clearly, both had the same mass after month 2
1.20*1.25 = 1.50, which is not 1.45
Thank You oobleck :D
wahtta, that made no sense
nvm i got it lo;
To answer these questions, let's break down the information provided:
Amy's growth:
- After Month 1: Amy's mass was 25% greater than her birth mass.
- After Month 2: Amy's mass was 20% greater than her mass after Month 1.
Joe's growth:
- After Month 1: Joe's mass was 20% greater than his birth mass.
- After Month 2: Joe's mass was 25% greater than his mass after Month 1.
a) To determine which mandrill had the greater mass after Month 2, we need to compare Amy's and Joe's masses after each month. Let's calculate their masses step by step:
Amy's mass after Month 1:
Amy's birth mass = 1 kg
Increase = 25% of 1 kg = 0.25 kg
Amy's mass after Month 1 = 1 kg + 0.25 kg = 1.25 kg
Amy's mass after Month 2:
Increase = 20% of 1.25 kg = 0.25 kg
Amy's mass after Month 2 = 1.25 kg + 0.25 kg = 1.5 kg
Joe's mass after Month 1:
Joe's birth mass = 1 kg
Increase = 20% of 1 kg = 0.2 kg
Joe's mass after Month 1 = 1 kg + 0.2 kg = 1.2 kg
Joe's mass after Month 2:
Increase = 25% of 1.2 kg = 0.3 kg
Joe's mass after Month 2 = 1.2 kg + 0.3 kg = 1.5 kg
Comparing Amy's and Joe's masses after Month 2, we can see that both mandrills have the same mass of 1.5 kg. Therefore, they have equal masses after Month 2.
b) To determine Amy's mass after Month 2 using the method of finding 145% of her birth mass, let's calculate it:
Amy's birth mass = 1 kg
145% of 1 kg = 1.45 kg
However, from the given information, we know that Amy's mass after Month 2 is 1.5 kg. Therefore, finding 145% of her birth mass would not give us the accurate value for Amy's mass after Month 2.
In conclusion:
a) Amy and Joe have the same mass after Month 2, which is 1.5 kg.
b) No, finding 145% of Amy's birth mass does not result in her accurate mass after Month 2.