Question

Meg made a fruit salad that weighs 8 3/4 pounds. She used 31 1/4 pounds of strawberries, 1 3/4 pounds of pineapple,2 1/2 pounds of bananas, and the rest was blueberries. What is the best estimate of the amount of blueberries inMeg's fruit salad?A. 1 poundB. 3 poundsC. 7 pounds D. 16 pounds

Answer 1

the amount of blueberries is the subtraction of the total weight and the weight of each ingredient

then

$8\frac{3}{4}-3\frac{1}{4}-1\frac{3}{4}-2\frac{1}{2}$

first we transform the mixed numbers to be earlier the work

$\begin{gathered} 8\frac{3}{4}\longrightarrow\frac{(8\times4)+3}{4}=\frac{35}{4} \\ \\ 3\frac{1}{4}\longrightarrow\frac{(4\times3)+1}{4}=\frac{13}{4} \\ \\ 1\frac{3}{4}\longrightarrow\frac{(4\times1)+3}{4}=\frac{7}{4} \\ \\ 2\frac{1}{2}\longrightarrow\frac{(2\times2)+1}{2}=\frac{5}{2}=\frac{10}{4} \end{gathered}$

I transformed 8/2 to 10/4 to make easlier the operations(I just multiply by 2 on numerator and denominator and the fraction is equivalent)

now make the subtract

$\begin{gathered} \frac{35}{4}-\frac{13}{4}-\frac{7}{4}-\frac{10}{4} \\ \\ \frac{35-13-7-10}{4} \\ \\ =\frac{5}{4}=1\frac{1}{4} \end{gathered}$

the amount of blueberries is 1 1/4 then right options is A 1pound because is the best estimate