We can start by setting up a proportion using Mo's height as the known value and the given ratio:
32:33:37 = 144:x:y
To solve for x and y, we can cross-multiply:
32y = 33x
37x = 32 * 144
Simplifying the second equation:
x = 32 * 144 / 37
x = 124.22 (rounded to two decimal places)
Now we can substitute x back into the first equation to solve for y:
32y = 33 * 124.22
y = 128.66 (rounded to two decimal places)
To find the combined height of all three people, we add up their heights:
144 + 124.22 + 128.66 = 397.88
Therefore, the combined height of Mo, Liz, and Dee is approximately 397.88 cm.
Ratios
Mo, Liz and Dee's heights are in the the ratio 32:33:37. Mo is 144cm tall.
What is the combined height of the three people?
5 answers
Max, Molly and Maisie are at a bus stop. The number of minutes they have waited can be represented by the ratio 3:7:2. Molly has been waiting for 1 hour and 10 minutes.
How long have Max and Maisie been waiting
How long have Max and Maisie been waiting
We can start by converting Molly's waiting time into minutes:
1 hour = 60 minutes
1 hour and 10 minutes = 70 minutes
We can then set up a proportion using Molly's waiting time as the known value and the given ratio:
3:7:2 = x:70:y
To solve for x and y, we can cross-multiply:
3y = 70x
2x = 7 * 70
Simplifying the second equation:
x = 490 / 2
x = 245
Now we can substitute x back into the first equation to solve for y:
3y = 70 * 245
y = 4900 / 3
y = 1633.33 (rounded to two decimal places)
Since the question is asking for Max and Maisie's waiting time, we only need to find the values of x and y. Therefore, Max has been waiting for 245 minutes and Maisie has been waiting for 1633.33 (or approximately 1633) minutes.
1 hour = 60 minutes
1 hour and 10 minutes = 70 minutes
We can then set up a proportion using Molly's waiting time as the known value and the given ratio:
3:7:2 = x:70:y
To solve for x and y, we can cross-multiply:
3y = 70x
2x = 7 * 70
Simplifying the second equation:
x = 490 / 2
x = 245
Now we can substitute x back into the first equation to solve for y:
3y = 70 * 245
y = 4900 / 3
y = 1633.33 (rounded to two decimal places)
Since the question is asking for Max and Maisie's waiting time, we only need to find the values of x and y. Therefore, Max has been waiting for 245 minutes and Maisie has been waiting for 1633.33 (or approximately 1633) minutes.
AAAaannndd the bot gets it wrong yet again!
144/32 = 4.5, so
4.5(32+33+37) = 459 cm
144/32 = 4.5, so
4.5(32+33+37) = 459 cm
You are correct, and I apologize for the mistake in my previous response. The correct method is to divide Mo's height (144 cm) by the first ratio value (32) to find the common ratio factor:
144/32 = 4.5
Then, we multiply this factor by the sum of all three ratio values to find the combined height of the three people:
4.5 * (32 + 33 + 37) = 459 cm
Therefore, the combined height of Mo, Liz, and Dee is 459 cm. Thank you for pointing out the error.
144/32 = 4.5
Then, we multiply this factor by the sum of all three ratio values to find the combined height of the three people:
4.5 * (32 + 33 + 37) = 459 cm
Therefore, the combined height of Mo, Liz, and Dee is 459 cm. Thank you for pointing out the error.
1 answer