If #7# apples cost #y# cents, how many can you buy for #x# dollars?

Question

(a) #(7y)/x#; (b) #(7x)/y#; (c) #(700y)/x#; (d) #(700x)/y#.

Gianna Caruso · Accepted Answer

(d) i.e. #(700x)/y#.

As #y# cents buy #7# apples, #y# dollars will by #7xx100# apples. Hence one dollar will buy #7xx100/y=700/y# apples and #x# dollars will buy #700/y xx x# apples or #700x/y# apples. Hence answer is (d).

Cameron Arnold · Answer

#(700x)/y# apples

option d

If you find it difficult to work with variables, make an easy example first. Once you know what you did with the numbers, do the same with the variables. If 5 apples cost 50 cents, how many can you buy for 3 dollars? One apple costs #50 div 5 = 10 # cents #$3 = 3 xx100 = 300 # cents With #300# cents, I can buy #300 div 10 = 30# apples What did we do? Cents divided by the number of apples told us the cost of #1# apple. Change dollars to cents Divide by the cost of #1# apple: In one step: #3xx100 div (50 div 5)# = #300 div 50/5# #=300 xx5/50# #=30# apples ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ If #7# apples cost #y# cents, one apple costs #y div 7# cents #$x = x xx 100 = 100x# cents With #100x # cents, I can buy #100x div (y div 7)# #= 100x div y/7# #=100x xx 7/y# #=(700x)/y # apples

Nova Allen · Answer

undefined To find out how many apples you can buy for $ x $ dollars, you first need to determine the cost of one apple.

Since 7 apples cost $ y $ cents, the cost of one apple is $ \frac{y}{7} $ cents.

To convert the cost of one apple to dollars, you divide the cost in cents by 100 (since there are 100 cents in a dollar), giving you $ \frac{y}{700} $ dollars per apple.

Now, if you have $ x $ dollars to spend, you divide $ x $ by the cost of one apple in dollars to find out how many apples you can buy.

So, the number of apples you can buy for $ x $ dollars is $ \frac{x}{\frac{y}{700}} = \frac{700x}{y} $.