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## Comment on

Ratios and Rates## How do I know when to use

## You can use ratios for

You can use ratios for simpler motion if/when you're able to rewrite the information as "for every x there is y" (as mentioned in the video)

## Will we have calculators for

## Unfortunately no.

Unfortunately no.

No calculators are permitted during the Math section of the GMAT.

## Hi Brent,

Kindly explain the following DS question:

What was the percent increase in population of city K from 1980 to 1990?

(1) In 1970 the population of city k was 160,000

(2) In 1980 the population of city k was 20 percent greater than it was in 1970, and in 1990 the population of city k was 30 percent greater than it was in 1970

Ans B

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/what-was-the-percent-increase-in-the-populati...

## Hi bent, is the official

## The Official Guide questions

The Official Guide questions are, by far, the best questions to practice with.

I'm not sure who's suggesting that the Official Guide (OG) questions are not good, but, whoever they are, they're incorrect. The practice questions in the OG's are retired questions, which means they were once part of the official test bank you'll work with on test day. All other third-party practice questions are simply the authors' attempts to replicate official practice questions (like the ones in the OG).

Cheers,

Brent

## Brent,

In looking up 239 DS OG 2020 question, I'm not sure I follow your explanation. I'm confused on how you got the following from S1:

Since the ratio of blue : yellow : red = 2 : 3 : 1, we can conclude that we need:

20/3 quarts of blue paint

10 quarts of yellow paint

20/6 quarts of red paint

I would not have thought about dividing 20/3 for blue and so on. Could you help me see how you derived that?

https://gmatclub.com/forum/a-certain-mixture-of-paint-requires-blue-yellow-and-red-paints-in-243443.html#p1894209

## Solution link: https:/

Solution link: https://gmatclub.com/forum/a-certain-mixture-of-paint-requires-blue-yell...

Good question. I should have made that clearer in my solution.

Since the ratio of blue : yellow : red = 2 : 3 : 1, we can see that:

- within 6 quarts of mixture, 2 quarts are blue

- within 6 quarts of mixture, 3 quarts are yellow

- within 6 quarts of mixture, 1 quarts are red

In other words, 2/6 of the mixture is blue, 3/6 of the mixture is yellow, and 1/6 of the mixture is red.

In other words, 1/3 of the mixture is blue.

So, if we have 20 quarts of mixture, then 1/3 of that mixture will be blue.

Other words, 20/3 quarts are blue.

Does that help?

## Hi Brent,

Could you please help on this one ? Thank you

Damian needs 1/4 of the wood in the shed on the first day and 2/9 of the remaining wood on the second day to make a tree-house in his backyard. Given that 2/5 of the wood in the shed is unusable due to fungal damage what fraction of usable wood is left once he has completed the tree-house ?

## Since we are asked to find a

Since we are asked to find a certain FRACTION, we can save ourselves some time buy assigning a "nice" value to the amount of wood in the shed.

By "nice" I mean a number that works well with the given information (1/4, 2/9 and 2/5).

The least common multiple of 4, 9 and 5 is 180.

So, let's say there are 180 equal-sized pieces of wood in the shed

1/4 of 180 = 45

So Damian used 45 pieces of wood on the first day

180 - 45 = 135

So there are 135 pieces of wood remaining

2/9 of 135 = 30

So Damian used 30 pieces of wood on the second day

45 + 30 = 75

So, Damian used 75 pieces of wood in total

------------------------

If 2/5 of the wood is unusable, then the other 3/5 of the wood must be usable

3/5 of 180 = 108

So, 108 pieces of wood are USABLE.

-----------------------

108 - 75 = 33

So there are 33 pieces of USABLE wood remaining.

Fraction of usable would remaining = 33/108 = 11/36

Cheers,

Brent

## fraction would be 33/108

because total wood left is now 108.

## Good catch! I've edited my

Good catch! I've edited my response accordingly.

Cheers and thanks,

Brent

## Hi Brent,

Could you pls solve this qs - https://gmatclub.com/forum/a-20-kg-metal-bar-made-of-alloy-of-tin-and-silver-lost-2-kg-63907.html

## Here's my full solution:

Here's my full solution: https://gmatclub.com/forum/a-20-kg-metal-bar-made-of-alloy-of-tin-and-si...