Question

saidhari bought a toaster oven for $60.this price was 1/4 off the list price what was the list price .

Answer 1

60 * 1/4 = ?

Answer 2

hmmm 1/4 off the list price
so 60 is really 3/4 then

well

Answer 3

im not getting what your saying

Answer 4

\(\large {
\begin{array}{ccllll}
amount& ration
\\\hline\\
60&\frac{4}{4}-\frac{1}{4}\to \frac{3}{4}\\
x&\frac{4}{4}\to 1
\end{array}\implies \cfrac{60}{x}=\cfrac{\frac{3}{4}}{1}
}\)

Answer 5

so would the price be 15

Answer 6

well... it can't be 15... 60 is LESS than the original/list price
so it has to be more than 60

Answer 7

\(\bf \cfrac{60}{x}=\cfrac{\frac{3}{4}}{1}\implies \cfrac{60}{x}=\cfrac{3}{4}\implies x=?\)

Answer 8

what about 240

Answer 9

240 is 60 * 4
that's 4 times 60

so 60 would be 1/4 OF the list price
not OFF the list price

Answer 10

so how would you solve this

Answer 11

cross-multiply the fractions
\(\bf \cfrac{60}{x}=\cfrac{\frac{3}{4}}{1}\implies \cfrac{60}{{\color{brown}{ x}}}=\cfrac{3}{{\color{brown}{ 4}}}\implies {\color{brown}{ 4}}\cdot 60={\color{brown}{ x}}\cdot 3\implies x=?\)

Answer 12

so it will be 720

Answer 13

hmmm cross-multiplly, then divide both sides by 3 \(\bf \cfrac{60}{x}=\cfrac{\frac{3}{4}}{1}\implies \cfrac{60}{{\color{brown}{ x}}}=\cfrac{3}{{\color{brown}{ 4}}}\implies {\color{brown}{ 4}}\cdot 60={\color{brown}{ x}}\cdot 3\implies \cfrac{4\cdot 60}{3}=\cfrac{x\cdot \cancel{ 3 }}{\cancel{ 3 }}
\)

Answer 14

80

Answer 15

yeap