Two thirds of a number is 40. What
is the number?
Answers
Answer:
Remember that “of” means you multiply, so 2/3 “of” the number = 40 would be written as
(2/3) * x = 40
Mutiply both sides by the inverse of 2/3, which is 3/2:
(2/3)(3/2)x = 40
x = 120/2
Reduce, with a GCF of 2:
x = 60
Substitute for x in the original equation to prove this:
2/3 * x = 40
x = 60
2/3 * 60 = 40
120/3 = 40
Reduce the fraction; the GCF is 3:
40 = 40
So x = 60
Onto the second part of your question!
You were asking what is 2/5 of the number. Remember we set the number equal to “x”, and found out that x = 60. We also confirmed that “of” means multiplication.
The resulting equation would look like this:
2/5 * 60 = 24
120/5 = 24
24 = 24
So the number, x, is 60; 2/3 of x is 40, and 2/5 of x is 24.
Step-by-step explanation:
Answer:
The required number is 60.
Step-by-step explanation:
Let the number be x
given 2/3 of a number = 40
Remember that “of” means you multiply, so 2/3 “of” the number = 40 would be written as
(2/3) * x = 40
2x = 40×3
x = 60
therefore the required number is 60.
Proof
2/3 × 60 = 40
120/3=40
40=40
therefore LHS = RHS