Question

In a box the ratio of nails to screws is 4:7. If there are 40 nails how many screws are there​

Answer 1

${\fbox{\fbox{\huge\sf\purple{QuEsTiOn}}}}$

In a box the ratio of nails to screws is 4:7. If there are 40 nails how many screws are there?

${\fbox{\fbox{\huge\sf\purple{AnSwER}}}}$

The number of Screws is 70.

$\bf{\red{To\:Find:-}}$

Number of Screws

$\bf{\red{Solution:-}}$

Ratio = 4:7

Put x in the ratio,

Nails = 4x

Screws = 7x

Total number of nails = 40

$\large{ \tt : \implies \: \: \: \: 4x = 40}$

$\large{ \tt : \implies \: \: \: \: x = \frac{40}{4} }$

$\large{ \tt : \implies \: \: \: \: x = 10}$

The value of x is 10

Thus,

Screws = 7x = 7×10 = 70

Hence,

The number of Screws is 70.

Answer 2

$\huge \mathbb {\orange {\underline {\blue{\underline{ANSWER :-}}}}}$

Given

• In a box the ratio of nails to screws is 4:7.
• There are 40 nails.

⠀

To find

• Number of screws in the box.

⠀

Solution

• Let the ratio be x.

⠀

Then,

⟼ Number of nails = 4x

⟼ Number of screws = 7x

⠀

According to the question

$\tt\longrightarrow{4x(Number\: of\: nails) = 40}$

⠀

$\tt\longrightarrow{x = \dfrac{40}{4}}$

⟶x=10

⠀

Then, the number of screws are

⟹Number of screws=7x

⟹Number of screws=7×10

⟹Number of screws=70

⠀

Hence,

Number of screws = 70

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