Question

A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $ 2, and you will save 80 cents a dozen”. The values of x and y are:

Answer 1

Here we are given that the girl brought x flowers for y dollars

then the cost of 1 flower = $\frac{y}{x}$

cost of 12 flowers = $12(\frac{y}{x} )$

We are given that x+10 flowers cost $2

then the cost of 1 flower = $\frac{2}{(x+10)}$

cost of 12 flowers = $12. \frac{2}{x+10}$

= $\frac{24}{x+10}$

Now we know that the difference between these two costs is 80 cents or $\frac{4}{5}$ dollars

$12\frac{y}{x} - \frac{24}{x+10} = \frac{4}{5}$

We use trial and error method to plug in the x and y values ( if this question gives you options for answer, plug in those options to find which value solves the equation)

x=5 and y=1 is the solution for this question using trial and error method.

$12.\frac{1}{5} -\frac{24}{5+10} =\frac{4}{5}$

$\frac{12}{5} -\frac{24}{15} = \frac{4}{5}$

$\frac{36-24}{15} = \frac{4}{5}$

$\frac{4}{5} =\frac{4}{5}$

Hence 5,1 is the right solution

Answer 2

Answer:

Its very simple if you know 1 dollor= 100cent. Now lets solve the question.

80 cent save for 1 dozen(12 flowers) then

200 cent (2 dollor) save 2.5 dozen (30 flowers) (calculate as 12/80*200=30)

Now 2 dollor save 30 flowers then

1 dollor will save 15 flowers

By question we got an exuation as

X+10=2dollor or y

And we know 1 dollor is equal to 15 flowers so by that

5+10=1 is our ans

So x=5 and y=1.