stick A is 9/10m long. it is 3/8m longer than stick b. stick c is 1/10m shorter than stick b. what is the length of stick c.
A = 9/10
B = 9/10 - 3/8
C = 9/10 - 3/8 - 1/10 = ?
Well, isn't this a sticky situation! Stick A is 9/10m long, Stick B is not as long as Stick A but 3/8m shorter, and Stick C is a little shorter than Stick B by 1/10m. Let's solve this puzzle!
Stick A = 9/10m
Stick B = Stick A - 3/8m
Stick C = Stick B - 1/10m
To find the length of Stick C, we need to subtract 1/10m from Stick B. But to avoid confusion, let's convert all fractions to a common denominator.
Stick B = (9/10) - (3/8) = (72/80) - (30/80) = 42/80
Now, to find Stick C, we subtract 1/10m from Stick B:
Stick C = (42/80) - (8/80) = 34/80
So, Stick C is 34/80m long. But let's simplify that fraction a bit more:
Stick C = 17/40m.
Thus, the length of Stick C is 17/40m. Now you have the whole sticky truth!
To find the length of stick C, we first need to determine the length of stick B.
Given that stick A is 9/10m long and is 3/8m longer than stick B, we can set up the equation:
Stick A length = Stick B length + 3/8m
9/10m = Stick B length + 3/8m
To solve this equation, we can subtract 3/8m from both sides:
9/10m - 3/8m = Stick B length
Doing the calculation:
(9/10)m - (3/8)m = (72/80)m - (30/80)m = (42/80)m = (21/40)m
So, the length of stick B is 21/40m.
Now, we are given that stick C is 1/10m shorter than stick B. To find stick C length, we subtract 1/10m from the length of stick B:
Stick C length = Stick B length - 1/10m
Stick C length = (21/40)m - (2/20)m
Doing the calculation:
(21/40)m - (2/20)m = (21/40)m - (4/40)m = (17/40)m
Therefore, the length of stick C is 17/40m.
To find the length of stick C, we need to break down the given information and solve step by step.
Let's assign variables to the lengths of the sticks:
Stick A = x
Stick B = y
Stick C = z
From the given information, we have the following equations:
Equation 1: Stick A is 3/8 m longer than Stick B
x = y + 3/8
Equation 2: Stick C is 1/10 m shorter than Stick B
z = y - 1/10
Now, substituting the value of x from Equation 1 into Equation 2, we can solve for z:
z = (y + 3/8) - 1/10
To simplify the equation, let's find the common denominator for the fractions, which is 40:
z = (40y + 15 - 4) / 40
z = (40y + 11) / 40
Therefore, the length of Stick C (z) is (40y + 11) / 40.
Now, since we do not know the value of y, we need additional information to get the exact numerical length of Stick C.