A store has apples on sale for $3.00 for 2 pounds. How many pounds of apples can you buy for $9? If an apple is approximately 5 ounces, how many apples can you buy for $9? Explain your reasoning.



Answer :

Since 2 pounds is $3 and you have $9, you would do: 

[tex] \frac{3}{2} = \frac{9}{x} [/tex] , x= # of pounds of apples

You do cross multiplication to get:

[tex]3x=18[/tex]

x=6      

1 lb= 16 oz

So [tex]6*16=96[/tex]   to get the number of ounces you can buy for $9.

Then divide 96 by 5, so that is ABOUT 19 APPLES.


we know that

A store has apples on sale for $[tex] 3.00 [/tex] for [tex] 2 [/tex] pounds

Part a) How many pounds of apples can you buy for $[tex] 9 [/tex]?

by using proportion

[tex] \frac{3}{2}\frac{usd}{pound} =\frac{9}{x} \frac{usd}{pound} \\ \\ 3x=9*2\\ \\ x=\frac{18}{3} \\ \\ x=6 pounds [/tex]

therefore

the answer Part a) is

[tex] 6 pounds [/tex]

Part b) If an apple is approximately [tex] 5 [/tex] ounces, how many apples can you buy for $[tex] 9 [/tex]?

we know that

[tex] 1 pound=16 ounces [/tex]

step 1

convert ounces to pounds

[tex] 1apple=\frac{5}{16}pounds [/tex]

by using proportion

[tex] \frac{1}{\frac{5}{16}}\ \frac{apples}{pounds} =\frac{x}{6} \frac{apples}{pounds}\\ \\ x\frac{5}{16} =6\\ \\ x=\frac{16*6}{5} \\ \\ x=19.2 apples [/tex]

therefore

the answer part b) is

about [tex] 19 apples [/tex]