# Question

How to do this step by step these 2 questions

Hey!

Let me try to provide some step by step solutions and explanation for both the questions. I will explain for question 4 in this post and do one more for question 5 in the upcoming one here.

Question 4 is a question that deals with the concept known as ‘unchanged quantity’. This means that one of the subjects here have their quantity unchanged in the before and after scenarios. What happens is, although the ratios for the before and after changes, we are supposed to change the ratio in the after to match with the one before.

In the above question, we know that another 8 \$1 coins are added. Notice that nothing  happens to the 20 cents? So this means that in before and after, the number of units for the 20 cents should be the same. We change the after ratio to its complex form to match the 20 cents in the before. You can see that in my diagram.

Observing the ratio in before and the new one in after, we can see that 1unit represents 8 coins (that is because \$1 increased by 1unit after an additional 8 coins).

The rest are self-explanatory in my solution. Hope this helps!

———-
I provide coaching for students. One-to-one classes and small, focus group classes available!

Do contact me at:

@ezpz123tuition (Instagram),
or +65 91143397,

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Hey!

Now let me try to explain for question 5!

In my previous post for question 4, I have explained that it is a question that deals with the concept known as ‘unchanged quantity’. This means that one of the subjects here have their quantity unchanged in the before and after scenarios. What happens is, although the ratios for the before and after changes, we are supposed to change the ratio in the after to match with the one before.

In question 5, we take a similar approach:

We note that in the above question this time, there was a only a change in the number of members in Team X. There were 6 members that took a break. So, following the same idea and method as question 4, we should try to match the before and after ratios, keep the number of units in Team Y same. This can be seen in the diagram in the solution.

Observing the before and after ratios, we can see that there is a decrease of 1unit in the after for Team X. This means that 1unit represents 6 members (this is because 6 members left for a break and then there is a decrease in 1 unit).

The rest are self-explanatory in my solution. Hope this helps!

———
I provide coaching for students. One-to-one classes and small, focus group classes available!

Do contact me at:

@ezpz123tuition (Instagram),
or +65 91143397,

0 Replies 2 Likes

5. I thought the difference was between men and members in the team!
So it was just “members”.

X / Y = 5/6
So X = (5/6)Y … (1)

(X – 6) / Y = 2/3
So X = (2/3)Y + 6… (2)

Substituting X in (1) and (2):
(5/6)Y = (2/3)Y + 6
(5/6)Y – (2/3)Y = 6
(5/6)Y – (4/6)Y = 6
(1/6)Y = 6

Therefore Y = 6*6 = 36 #

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Can’t really read the full questions. Can retake clearer picture?

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It’s a badly cropped image.  Can you please take a better image, or type out the questions?

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