Sheila is baking a few cakes for the bake sale for her school. Each cake requires 2 ½ cups of sugar. How many cakes can she bake if she has 7 ⅓ cups of sugar? Provide answer and explain plz

The answer is 2 cakes.

Step-by-step explanation:

What we know:

-Each cake requires 2 1/2 cups of sugar.

-Sheila has 7 1/3 cups of sugar.

What we need to know:

-How many cakes can Sheila make with 7 1/3 cups of sugar.

Remember:

-You must make a whole cake.

Show your work:

-I am going to convert the fraction into a decimal.

-2 1/2=2.5 and 7 1/3=7.3

-2 cakes will require 5 cups of sugar and you will remain with 2.3 cups of sugar.

-You cannot use 2.3 cups of sugar to make a cake. It must be in full.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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