Question

Virago bought 78 pots for $312. Write the two rates (ratios) implied by this statement. What would she have had to pay for 400 pots?

Answer 1

@iGreen

Answer 2

@dilphill31

Answer 3

Just divide..

312 / 78 = ?

Answer 4

And 78 / 312

Answer 5

ok one sec

Answer 6

4?

Answer 7

and 0.25

Answer 8

@mathmale

Answer 9

Find the rate per pot: write the ratio $312/78 pots.

We want to know the dollar amount for 400 pots. Write another ratio, using x for the dollar amount, over 400:

$312/78 pots = x/ 400 pots.

Answer 10

Solve this equation of ratios for x. Be certain to check y our work.

Answer 11

well I divided 78/$312 and I got 0.25 and I also divided $312/78 and got 4

Answer 12

What was your objective in doing that?

Answer 13

the i green guy told me to do that

Answer 14

Of great interest is the unit cost per pot.

You obtain that as follows:\[\frac{ $312 }{ 78 pots }\]

Answer 15

Obviously, 400 pots are going to cost more than 78 pots. Write another ratio:

\[\frac{ $x }{ 400 }\]

Answer 16

Set those 2 ratios equal to each other; then cross-multiply. Are you familiar with cross mult?

Answer 17

yes I am. One second.

Answer 18

\[\frac{ $312 }{ 78 }=\frac{ x$ }{ 400 }\]

Answer 19

Mult x by 78.
Mult $312 by 400.
Set these 2 products = to each other.
Solve the resulting eq'n for x.

Answer 20

Okay, thank you!

Answer 21

You're welcome, Ricky! Take care.