a farmer has 220 bushels of beans for sale at a farmer's market. he sells an average of
16
[tex] \frac{1}{4} [/tex]
bushels each day. After 7 days, what is the change in the total number of bushels the farmer has for sale at the farmers market? write a signed number representing the change in the total number of bushels the farmer has for sale.

a farmer has 220 bushels of beans for sale at a farmers market he sells an average of 16tex frac14 texbushels each day After 7 days what is the change in the to class=

Respuesta :

Since the farmer sells an average of 16.25 bushels a day and it has been 7 days, you would multiply 16.25 by 7 to find the amount sold in a week aka the change in the total bushels the farmer has to sell which is a change of 113.75 or 113 3/4.

so he has 220 bushels of beans, and everyday he sells 16¼ bushels, for 7 days, that's just 16¼ + 16¼ + 16¼ + 16¼ + 16¼ + 16¼ + 16¼, or just 7(16¼).

so his number changed from 220 to 7(16¼), or 220 - 7(16¼).


let's change the mixed fraction to improper, and multiply, and then subtract.


[tex] \bf \stackrel{mixed}{16\frac{1}{4}}\implies \cfrac{16\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{65}{4}}~\hfill 7\cdot \cfrac{65}{4}\implies \cfrac{455}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 220-\cfrac{455}{4}\implies \stackrel{\textit{LCD is 4}}{\cfrac{(4)220-(1)455}{4}}\implies \cfrac{880-455}{4}\implies \cfrac{425}{4}\implies 106\frac{1}{4} [/tex]