Answer: The true statement is (B). If a recipe calls for [tex]1\dfrac{1}{2}[/tex] cup of grated cheese and Dion grates [tex]\dfrac{1}{2}[/tex] cup of cheese, he needs to grate another [tex]\dfrac{1}{6}[/tex] cup to have enough cheese.
Step-by-step explanation: We are given four statements out of which we are to find the TRUE one.
(1) Number of cups of salad dressing made by Kim is
[tex]C=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{cups},[/tex]
and number of cups of salad used by Kim is
[tex]C_1=\dfrac{2}{3}~\textup{cup}.[/tex]
Therefore, number of cups left is given by
[tex]C_2=C-C_1=\dfrac{3}{2}-\dfrac{2}{3}=\dfrac{9-4}{6}=\dfrac{5}{6}\neq \dfrac{5}{12}.[/tex]
Thus, this statement is FALSE.
(2) Number of cups of grated cheese required for the recipe is
[tex]D=\dfrac{2}{3}~\textup{cup},[/tex]
and number of cups of cheese grated by Dion
[tex]D_1=\dfrac{1}{2}~\textup{cup}.[/tex]
Therefore, number of cups of cheese he needs to grate to have enough cheese is given by
[tex]D_2=C-C_1=\dfrac{2}{3}-\dfrac{1}{2}=\dfrac{4-3}{6}=\dfrac{1}{6}.[/tex]
Thus, this statement is TRUE.
(3) Number of ponds of nuts bought by Alko is
[tex]E=\dfrac{5}{6}~\textup{pound},[/tex]
and number of ponds of nuts ate by Alko is
[tex]E_1=\dfrac{1}{4}~\textup{pound}.[/tex]
Therefore, number of ponds of nuts left is given by
[tex]E_2=E-E_1=\dfrac{5}{6}-\dfrac{1}{4}=\dfrac{10-3}{12}=\dfrac{7}{12}\neq \dfrac{1}{2}.[/tex]
Thus, this statement is FALSE.
(4) Number of cups of flour that Leo has is
[tex]F_1=\dfrac{1}{3}~\textup{cup},[/tex]
and number of cups of flour needed for the recipe is
[tex]F=\dfrac{2}{3}~\textup{cup}.[/tex]
Therefore, number of cups of flour that Leo needs is given by
[tex]F_2=F-F_1=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\neq \dfrac{1}{2}.[/tex]
Thus, this statement is FALSE.
Thus, (B) is the correct statement.
The statement B is true as “a recipe calls for [tex]\dfrac{2}{3}[/tex] cup of grated cheese and Dion grates [tex]\dfrac{1}{2}[/tex] cup of cheese, he needs to grate another [tex]\dfrac{1}{6}[/tex] cup to have enough cheese”.
Further explanation:
Option A is not correct if Kim makes [tex]1\dfrac{1}{2}[/tex] cups of salad dressing and uses [tex]\dfrac{2}{3}[/tex] cup, there is[tex]\dfrac{5}{{12}}[/tex] cup left.
Option B is not correct if a recipe calls for [tex]\dfrac{2}{3}[/tex] cup of grated cheese and Dion grates [tex]\dfrac{1}{2}[/tex] cup of cheese, he needs to grate another [tex]\dfrac{1}{6}[/tex] cup to have enough cheese.
Option C is not correct “if Alko buys [tex]\dfrac{5}{6}[/tex] pound of nuts and eats \frac{1}{4} pound, he doesn’t left with [tex]\dfrac{1}{2}[/tex] pound.
Option D is not correct “If Leo has [tex]\dfrac{1}{8}[/tex] cup of flour and recipe calls for [tex]\dfrac{2}{3}[/tex] cup, he needs [tex]\dfrac{1}{2}[/tex] cup more flour.
The statement B is true as “a recipe calls for [tex]\dfrac{2}{3}[/tex] cup of grated cheese and Dion grates [tex]\dfrac{1}{2}[/tex] cup of cheese, he needs to grate another [tex]\dfrac{1}{6}[/tex] cup to have enough cheese”.
Learn more:
1. Learn more about addition of two numbers https://brainly.com/question/894273
2. Learn more about multiplication https://brainly.com/question/4892332
Answer details:
Grade: Junior School
Subject: Mathematics
Chapter: Number system
Keywords: Kim, Dion, grated, cheese, Alko, pound, nuts, recipe, cup, nuts left, Leo, enough cheese.
