A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and pounds of jelly beans, the total cost is $53 . For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $25 . Find the cost for each pound of trail mix and each pound of jelly beans.

Question

A store is having a sale on trail mix and jelly beans. For 7  pounds of trail mix and  pounds of jelly beans, the total cost is $53 . For 5 pounds of trail mix and  3 pounds of jelly beans, the total cost is $25 . Find the cost for each pound of trail mix and each pound of jelly beans.

wolfe8 · Answer

Can you check your second sentence? I think you missed a number

anonymous · Answer

9

anonymous · Answer

my bad

anonymous · Answer

9 pounds  of jelly beans

wolfe8 · Answer

Alright so can you put what info you have into mathematical equations?

anonymous · Answer

no

anonymous · Answer

if you could do that i might be able to solve it myself

wolfe8 · Answer

Okay let's work together. We have "7  pounds of trail mix and 9 pounds of jelly beans, the total cost is $53". Let x be trail mix and y be jelly beans. It then translates to 7x+9y=53

Can you try for the next line of info?

anonymous · Answer

5x+3y=25

wolfe8 · Answer

Correct. And can you solve it now?

anonymous · Answer

each one ?

wolfe8 · Answer

For x and y, which are prices for trail mix and jelly beans per pound respectively. Do you know how to solve simultaneous equations?

anonymous · Answer

subtitution method?

wolfe8 · Answer

Yes and a few other methods, but you can do that definitely. Go ahead and show me what you get.

anonymous · Answer

i solve for y for the first one?

wolfe8 · Answer

You can. It actually doesn't matter what you solve for as the first one. Just look out for the easiest one if you can(i.e the variable with coefficient 1)

anonymous · Answer

y=37/15 
x=22/5

wolfe8 · Answer

That doesn't look quite right to me. Can you show me the working?

anonymous · Answer

right x=11/4 y=15/4

wolfe8 · Answer

That looks about right. The way to check is to put in those values in any equation and see if it's the same as the right hand side.

anonymous · Answer

then

wolfe8 · Answer

Well price of trail mix per pound is $11/4 per pound and jelly beans $15/4 per pound. But people don't usually write money in that form so get the decimal form.

anonymous · Answer

how?

wolfe8 · Answer

Fractions also mean the numerator divided by the denominator. Does that help?

anonymous · Answer

yea
 2.75

wolfe8 · Answer

Yes that is for mix trail. Do the same for jelly beans and you have your answers.

anonymous · Answer

thanks

wolfe8 · Answer

You're welcome. Happy studying!