I need help with this word problem i can't figure it out

label Algebra
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schedule 1 Day
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Noahs cafe sells special blends of coffee mixtures. noah wants to create a 20-pund mixture with coffee that sells for $9.20 per pound and coffee that sells for $5.50 per pound. how many pounds of each picture should he blend to create a coffee that sells for $6.98 per pound? 

Oct 13th, 2015

Thank you for the opportunity to help you with your question!

Let x = pounds of coffee that sells for $9.20 per pound

Let y = pounds of coffee that sells for 5.50 per pound

Then,

x + y = 20

and

9.20x + 5.50y = 6.98(20) = 139.60

Since x + y = 20,  then y = 20 - x

Now substitute

9.20x + 5.50(20 - x) = 139.60

9.20x + 110 - 5.50x = 139.60

3.7x = 29.60

x = 29.60/3.7 = 8 pounds of coffee that sells for $9.20 per pound

y = 20 - 8 = 12 pounds of coffee that sells for $5.50 per pound


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 13th, 2015

thank you theres another one that i need help with, i just can understand word problems

A childcare company charges $435 per month for children who attend full time and $275 per month for children who attend part time. this month, they have 35 children registered for a total fee of $12,985. how many children are full time and how many children are part-time?

write and solve a system of equations 


Oct 13th, 2015

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