alejandraterraz9920 alejandraterraz9920
  • 10-10-2019
  • Mathematics
contestada

Solve: a 100-mL pitcher of lemonade is currently 90% water and 10% lemon concentrate. How much water must you add to change the ballance to 95% water and 5% lemon concentrate.

Respuesta :

calculista
calculista calculista
  • 14-10-2019

Answer:

Must add 100 milliliters of water

Step-by-step explanation:

Let

x ----> milliliters of water to add

we know that

Originally

The milliliters of lemon concentrate is equal to the 10% of 100 mL

so

[tex]0.10(100)=10\ mL[/tex]

Now

The balance of lemon concentrate is equal to 5%

The milliliters of lemon concentrate is the same

so

[tex]0.05(100+x)=10[/tex]

solve for x

[tex]5+0.05x=10[/tex]

[tex]x=100\ mL[/tex]

therefore

Must add 100 milliliters of water

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