Question

A sports sold 200 tennis racquets. Some were sold at $18 each and the rest were sold at $33 each. The total receipts fro these sales were $4,800. How many racquets did the store sell at $18 each?

Answer 1

Alright you know that there are two types of raquets (lets name them x and y shall we,) you also know that the total sold is 200 raquets and $4800 was made. Set up the system:

18x + 33y = 4800 ($18 and $33 being the prices, and 4800 the total)
x + y = 200 (total sold)

Now just solve for x, as it represents the $18 raquets.
33x+18(200-x)=4800
33x+3600-18x=4800
15x=1200
so now go ahead and tell me what 1200 divided by 15 is

Answer 2

im soooo confused... howd u solve for x, howd u get those equations

Answer 3

@samanthagreer

Answer 4

ok so there were 200 sold coorect and there were $4800 made correct

Answer 5

yes

Answer 6

ok so lets set it up we have 18x + 33y = 4800 meaning that some were sold for 18 and the x means how many were sold but we dont know so that is what we are finding and the same thing with 33 and y and what do you do when a varibale or a number is right next to another number with out a sign

Answer 7

do you multiply it

Answer 8

yes

Answer 9

but i dont see that

Answer 10

great job ye you would multipy it so after that we have this ($18 and $33 being the prices, and 4800 the total)
x + y = 200 (total sold) Now just solve for x, as it represents the $18 raquets.

Answer 11

are you understanding

Answer 12

im just confused how would u solve for x since there are two seperate equations and two variables in both equations

Answer 13

ok well we are getting there but from what i have already told you do you understadn that part

Answer 14

yes

Answer 15

great so now we will putting this together ok so i have these equations 33x+18(200-x)=4800
33x+3600-18x=4800
15x=1200 now tell me from this how do we find x 15x=1200

Answer 16

if you dont know just tell me and ill explain

Answer 17

i just dont get how u got those equations

Answer 18

well im not sure how to explain that but how about we finish going through the problem and then you might understand

Answer 19

ok

Answer 20

my firend showed me this but idk

Answer 21

i think thats how im supposed to solve it

Answer 22

ok so now tell me what is 1200 divided by 15

Answer 23

can u explain that one

Answer 24

80

Answer 25

@samanthagreer

Answer 26

ok so since we have that then that means that x=80 sold at $33 so we know that part but we still need to find the 18 dollar ones not tell me agina what x =

Answer 27

80

Answer 28

ok so solve this 200-x=

Answer 29

120

Answer 30

120 raquets sold at $18 each

Answer 31

but im soooooo sorry im still confused

Answer 32

200-x=120 sold at $18
well that is the answer i wil put everything agian in case you want to look over is agianAlright you know that there are two types of raquets (lets name them x and y shall we,) you also know that the total sold is 200 raquets and $4800 was made. Set up the system:

18x + 33y = 4800 ($18 and $33 being the prices, and 4800 the total)
x + y = 200 (total sold)

Now just solve for x, as it represents the $18 raquets.
33x+18(200-x)=4800
33x+3600-18x=4800
15x=1200
x=80 sold at $33
200-x=120 sold at $18

Answer 33

can u explain what my friend did

Answer 34

im not sure that was how i have always been taght to do it sorry

Answer 35

its okay thanks for taking ur time to help me i really appreciate it and i will look over the work too see if i get it

Answer 36

ok i hope you are able to understand

Answer 37

please remember to close your question