Math, asked by dineshasaravan9970, 1 year ago

Bottle and a cork together cost 150 the bottle cost 100 more than the cork how much does each cost

Answers

Answered by achtungsundar
1
B - price of bottle
C - price of cork

B+C = 150—-1
B=C+100—-2

Substitute 2 in 1

C+100+C=150
2C=50


C=25

B=125
Answered by pulakmath007
1
  • The cost of a bottle = 125

  • The cost of a cork = 25

Given :

  • Bottle and a cork together cost 150

  • The bottle cost 100 more than the cork

To find :

The cost of bottle and cork

Solution :

Step 1 of 2 :

Form the equation to find the cost of bottle and cork

Here it is given that Bottle and a cork together cost 150

The bottle cost 100 more than the cork

Let cost of a cork = x

Then cost of a bottle = x + 100

By the given condition

\displaystyle \sf  x + (x + 100) = 150

Step 2 of 2 :

Calculate the cost of bottle and cork

\displaystyle \sf  x + (x + 100) = 150

\displaystyle \sf{ \implies }2x + 100 = 150

\displaystyle \sf{ \implies }2x = 150 - 100

\displaystyle \sf{ \implies }2x = 50

\displaystyle \sf{ \implies }x =  \frac{50}{2}

\displaystyle \sf{ \implies }x = 25

The cost of a cork = x = 25

The cost of a bottle

= x + 100

= 25 + 100

= 125

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