Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left parenthesis, g, right parenthesis of cheese. How much cheese did the recipe require?

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Answer:

50 grams.

Step-by-step explanation:

Let x be the amount of cheese recipe requires.

We have been given that Ann increased the quantities of all the ingredients in a recipe by 60%. She used 80 grams of cheese. We are asked to find the amount of cheese the recipe requires.

Since Ann increased the quantity of cheese by 60%, so the amount of cheese used by Ann would be x plus 60% of x. We can represent this information in an equation as:

[tex]x+\frac{60}{100}x=80\text{ g}[/tex]

[tex]x+0.60x=80\text{ g}[/tex]

[tex]1.60x=80\text{ g}[/tex]

[tex]\frac{1.60x}{1.60}=\frac{80\text{ g}}{1.60}[/tex]

[tex]x=50\text{ g}[/tex]

Therefore, the recipe requires 50 grams of cheese.

Answer:

50 GRAMS

Step-by-step explanation:

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