A solution is to be kept between 86° and 95° F. What is the range

1.	A solution is to be kept between 86° and 95° F. What is the range of temperature in degree Celsius, if the Celsius (C)/Fahrenheit (F) conversion formula is given by F = 9/5C + 32.
Answer» Let us consider as F₁ = 86^°F And F₂ = 95° As we know that, F = 9/5 C + 32 F₁ = 9/5 C₁ + 32 F₁ – 32 = 9/5 C₁ C₁ = 5/9 (F₁ – 32) = 5/9 (86 – 32) = 5/9 (54) = 5 × 6 = 30° C Then, F₂ = 9/5 C₂ + 32 F₂ – 32 = 9/5 C₂ C₂ = 5/9 (F₂ – 32) = 5/9 (95 – 32) = 5/9 (63) = 5 × 7 = 35° C Hence, the range of temperature of the solution in degree Celsius is 30° C and 35° C.

A solution is to be kept between 86° and 95° F. What is the range of temperature in degree Celsius, if the Celsius (C)/Fahrenheit (F) conversion formula is given by F = 9/5C + 32.

Answer»

Let us consider as F₁ = 86^°F

And F₂ = 95°

As we know that, F = 9/5 C + 32

F₁ = 9/5 C₁ + 32

F₁ – 32 = 9/5 C₁

C₁ = 5/9 (F₁ – 32)

= 5/9 (86 – 32)

= 5/9 (54)

= 5 × 6

= 30° C

Then,

F₂ = 9/5 C₂ + 32

F₂ – 32 = 9/5 C₂

C₂ = 5/9 (F₂ – 32)

= 5/9 (95 – 32)

= 5/9 (63)

= 5 × 7

= 35° C

Hence, the range of temperature of the solution in degree Celsius is 30° C and 35° C.