Question

Roma has 2 blue sticks and 5 red sticks.The length of 1 blue stick is 3 times that of the red sticks.The total length of the 7 sticks is 127 cm.Find the length of 1 blue stick

Answer 1

Let the length of Blue stick = x
also let the length of Red stick = y
It's given
# Total length of 7 sticks that Roma has = 127 cm .

# 2*(length of blue sticks)+ 5*(length of red sticks) = 127 cm.

# 2x +5y = 127 cm - eq. (1)

also , 1 blue stick = 3*(red stick)
1x = 3y, x=3y - eq. (2)
Now putting value of x in eq. (1)
2x +5y = 127 cm
2(3y) + 5y = 127 cm
6y + 5y = 127 cm
11y = 127cm
y= 127/11 = 11.54 = length of Red stick
Also from eq. (2)
x = 3y
x = 3*(11.54)
x = 34.62 = length of one blue stick.
( Ans) ☺️

Answer 2

Answer: The length of 1 blue stick is 34.62.

Step-by-step explanation:

Given: $Roma$ has 2 blue sticks and 5 red sticks.The length of 1 blue stick is 3 times that of the red sticks.The total length of the 7 sticks is 127 cm.

To find:We have to find the length of blue stick.

Explanation:

Step 1:Let the length of one blue stick be x.

Step 2:Let the length of one red stick be y.

Step 3:It is given that the length of 1 blue stick is 3 times that of red stick.

i.e.       Length of 1 blue stick $= 3$ × Length of 1 red stick

⇒                                           $x=3y$.............(1)

Step 4:It is also given that the total length of 7 sticks is 127 cm.

i.e.    Length of 2 blue sticks+Length of 5 red sticks$=127cm$    

⇒                                  $2x+5y=127cm$......(2)

Step 5:Substituting the value of x from equation (1) on equation (2) we get,

⇒                              $2(3y)+5y=127$

⇒                                   $6y+5y=127$

⇒                                          $11y=127$

⇒                                             $y=\frac{127}{11}$

⇒                                             $y=11.54$

∴ The length of 1 red stick is 11.54 cm.

Step 6:Substituting the value of y in equation we get,

⇒                                              $x=3(11.54)$

⇒                                              $x=34.62$

∴ The length of 1 blue stick is 34.62.

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