SOLUTION: If 15 pounds of tea and 10 pounds of coffee together cost $15.50, while 25 pounds of tea and 13 pounds of coffee at the same prices cost $24.55, find the price per pound of each.
Algebra.Com
Question 882249: If 15 pounds of tea and 10 pounds of coffee together cost $15.50, while 25 pounds of tea and 13 pounds of coffee at the same prices cost $24.55, find the price per pound of each.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
x, price of tea
y, price of coffee
15x+10y=15.50 and 25x+13y=24.55 account for the cost of each combination of the purchases. The 15.50 equation can be simplified by dividing left and right by 5:
3x+2y=3.1.
Substitution seems easiest method.
SYSTEM:
-
3x+2y=3.1
-
25x+13y=24.55
substitute:
, dollars per pound, coffee. Use this to find the value for x.
RELATED QUESTIONS
sue bought 4 pounds of coffee and two pounds of tea for $31.50 last week. this week she... (answered by checkley77)
if 7 pounds of each and 5 pounds of coffee costs $55.00 and 6 pounds of tea and 3 pounds... (answered by ikleyn)
Six pounds of coffee and fourteen pounds of coffee cost $77.40 If the price of cofee... (answered by Alan3354)
If 5 pounds of sugar and 8 pounds of coffee cost $50.64, and at the same price 9 pounds... (answered by josmiceli)
A merchant mixed 10 pounds of cinnamon tea with 5 pounds of spice tea for $40.00. A... (answered by stanbon)
A vendor sold 12 punds of coffee and 10 pounds of tea to one customer for $65.18 and and... (answered by CubeyThePenguin)
Megan bought x pounds of coffee that costs 3 dollars per pound and 18 pounds of coffee at (answered by Boreal)
Diana bought 4 pounds of coffee, 5 pounds of sugar, and 10 pounds of flour and received... (answered by MathLover1)
Justin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A... (answered by josgarithmetic)