Terry has nuts and bolts the ratio of the number of nuts to the number of bolts is 7:9 if Terry has 36 bolts how many nuts does Terry have

Respuesta :

Given :

  • Ratio between the number of nuts to the number of bolts = 7 : 9
  • Number of bolts = 36

To Find :

  • Number of nuts.

S O L U T I O N :-

Let the number of nuts and bolts be 7x and 9x respectively.

  • Number of bolts = 36

[tex] \tt { \therefore{9x = 36}}[/tex]

Solving the formed equation :

[tex]: \implies \sf 9x = 36 \\ \\ [/tex]

  • By dividing both sides by 9 .

[tex]: \implies \sf x = \cancel{\dfrac{36}{9} }[/tex]

  • By dividing 36 and 9 by 9.

[tex]: \implies{\underline {\boxed{ \tt x = 4 }}}[/tex]

[tex]\huge {\therefore}[/tex] The number of number of nuts are 7x = 7*4 = 28.