Advanced Algebra
posted by Rebecca .
Mr. Whipple wants to blend two teas, regular and allspice, whose wholesale cost is $0.90/lb and $1.20/lb respectively. He wil sell the mixture at $1.65/lb and wishes to make a 50% profit over wholesale cost. What should the ratio of regular to allspice be to accomplish this?
PLEASE HELP.
THANKS!
R means lbs regular, A means lbs all spice
cost ingredients= cost mix
R*.9 + A*1.20=(R+A)1.65(2/3)
solve for R/A
Notice the 2/3. If the selling price is 1.65, then 2/3 of that must be cost. (1/3 is profit).
Rebecca,
There is another way (but much much much longer) of doing this.
R = weight of regular tea.
A = weight of spiced tea.
=========================
If we make a 100 lb sample then
R + A = 100. This is equation 1.
The cost will be 0.90R + 1.20A and we want a 50% profit.
The selling price is 1.65(R + A).
Remember [(selling price  cost)/cost] x 100 = 50%
Then {[1.65(R + A) (0.90R + 1.20A)]/(0.90R + 1.20A)}= 0.5
This is equation 2.
Solve the two equations for R and A, then take the ratio of R to A. If you want to go through it check out my figures. I arrived at 33.33 lbs for R and 66.67 lbs for A which is a ratio of 33.33/66.67 = 1R/2A. I hope this helps.
Respond to this Question
Similar Questions

Economics
Demand function for Zatab: Qd = 15.0  0.2P Q = annual quantity demanded P = wholesale price of one Zatab unit Production cost per unit: $5 Mirk Lab incurred a $60 million R&D cost a decade ago 1: What wholesale price will Mirk Labs … 
PreCalc
The monthly revenue achieved by selling x wristwatches is figured to be x(400.2x)dollars. The wholesale cost of each watch is $32. a. How many watches need to be sold each month to achieve a profit (revenuecost) of $50? 
computer science
Write a program that will input an item’s wholesale cost and its markup percentage. The program will output the item’s retail price. The program should repeat for several input values. For example, if an item cost is 5.00 and markup … 
Math
Would someone please double check my answers. The retail cost of a computer is 32% more than its wholesale cost? 
math
Barstucks is making a new coffee blend. The company bought 50lbs. of Kona beans at $34.95 per lb. and plans to mix these beans with Columbian beans that sell for $7.99 per lb. wholesale. If Barstucks wants its cost of the blend to … 
managerial economics
Qd=15.00.2P where Qd is annual quantity demanded in millions of units and P is the wholesale price. Incurred cost of $60 million. Production cost is $5/unit. (1) what is wholesale price, (2) production annually, (3) annual profit? 
math
The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer's markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost? 
math
The manager of a tea shop mixes two types of teas to make a specialty blend. Alone, the teas sell for $3.99 and $8.99 per ounce. How many ounces of each type of tea should be used to make 32 ounces of a mixture that sells for $5.99 … 
Math
Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell … 
Maths Profit and Loss
If the manufacturer gains 6%, the wholesale dealer 8% and the retailer 10%,then what is the production cost of a vaccum cleaner whose retail price is Rs 15741?