Question

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?

Answer 1

50 GRAMS

Explanation:

Answer 2

50 grams.

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:

`x+(60)/(100)x=80\text{ g}`

`x+0.60x=80\text{ g}`

`1.60x=80\text{ g}`

`(1.60x)/(1.60)=\frac{80\text{ g}}{1.60}`

`x=50\text{ g}`

Therefore, the recipe requires 50 grams of cheese.