The average temperature of Monday to Wednesday was $37 ° C$ and from Tuesday to Thursday it was 34°C.
If the temperature on Thursday was 4/5 of Monday, what was the temperature on Thursday?

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36°C

46°C

56°C

66°C

answer is A.

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Detailed Solution

Let's find the combined temperature of Monday, Tuesday, and Wednesday:
⇒

37 \times 3 = 111 ° C

Accordingly the combined temperature of Tuesday, Wednesday, and Thursday:
⇒

34 \times 3 = 102 ° C

The difference between the temperature between Monday and Thursday will be:
(temperature of Monday) – (temperature of Thursday) = 111 – 102
= 9 ……………………………. (1)
According to the given question,

\frac{4}{5}

Monday (temperature) = Thursday (temperature) …………………………..(2)
Let's substitute the value in equation (1) we get:
⇒ Monday (temperature) -

\frac{4}{5}

Monday (temperature) = 9
⇒

\frac{Monday (temperature)}{5}

= 9
⇒ Monday (temperature) = 45
Let's put the value Monday in the equation …. (2)
⇒

\frac{4}{5} \times 45

= Thursday (temperature)
⇒

4 \times 9 =

Thursday (temperature)
⇒ Thursday (temperature) = 36°C

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