Ezra is baking cookies his recipe uses 200 grams of sugar to make 48 cookies. He wants to know how many cookies he can make with

Question

3 years ago

8

Ezra is baking cookies his recipe uses 200 grams of sugar to make 48 cookies. He wants to know how many cookies he can make with

350 grams of sugar.
Part A which proportion can be used to find the number of cookies, y, Ezra can make with x grams of sugar?

A. y=0.24x
B. y=4.17x
C. y=48x
D. y =200x

Part B How many cookies can Ezra make with 350 grams of sugar? Enter the answer in the box

Mathematics

1 answer:

Tcecarenko [31] · Answer 1 · 2022-11-09T04:00:34+03:00

We are asked to find the proportion of sugar to number of cookies

Sugar = 200g

Number of cookies = 48

proportion of sugar to cookies = 200 : 48

how many cookies he can make with 350 grams of sugar?

let x = number of cookies

proportion of sugar to cookies = 350 : x

equate the <em>proportions</em>

200 : 48 = 350 : x

200/48 = 350/x

cross product

200 × x = 350 × 48

200x = 16800

x = 16800/200

x = 84 cookies

find the number of cookies, y, Ezra can make with x grams of sugar?

y = grams of sugar, x / number of cookies

y = 350/84

y = 4.17x

Therefore,

Ezra can make 84 cookies with 350 grams of sugar