Respuesta :
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.