The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday were 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday.
Solution
Correct Answer: Option A
Let the temperatures for Monday, Tuesday, Wednesday, Thursday, and Friday be denoted by M, T, W, Th, and F, respectively.
We know that:
M = 42 (temperature on Monday)----(1)
(M + T + W + Th)/4 = 48 (average temperature for Monday, Tuesday, Wednesday, and Thursday) ----(2)
(T + W + Th + F)/4 = 46 (average temperature for Tuesday, Wednesday, Thursday, and Friday) ------(3)
Now,
To simplify the second equation, we substitute M = 42 and simplify:
(M + T + W + Th)/4 = 48
(42 + T + W + Th)/4 = 48 (substituting M = 42)
42 + T + W + Th = 4 x 48 = 192 (multiplying both sides by 4)
T + W + Th = 192 - 42 = 150 (subtracting 42 from both side
T + W + Th = 150
Substituting T + W + Th = 150 into the third equation, we get:
150 + F = 184
F = 34
Therefore, the temperature on Friday was 34 degrees.
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