SOLUTION: 5 cups of coffee and 4 cups of tea cost $26.80 whereas 7 cups of coffee and 6 cups of tea cost $38.60.Find the difference between the cost of 1 cup of coffee and 1 cup of tea

Question 1127411: 5 cups of coffee and 4 cups of tea cost $26.80 whereas 7 cups of coffee and 6 cups of tea cost $38.60.Find the difference between the cost of 1 cup of coffee and 1 cup of tea
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
c and t are the variables
5c+4t=26.80
7c+6t=38.60
multiply top by 3
15c+12t=80.40 and bottom by -2
-14c-12t=-77.20
c=$2.80
therefore 14+4t=26.80, 4t=12.80 and t=$3.20
this checks in the second equation
The difference between the two prices is $0.40, with tea more expensive.
RELATED QUESTIONS
17. The bill for 6 cups of coffee and 7 cups of tea is $5.90 while the bill for 18 cups... (answered by ewatrrr)

A house wife find that 5vcans of condensed milk and 3 jars of instant coffee cost $27... (answered by addingup)

for rs.600 mr.karan can buy a maximum of 24 cups of tea and for rs.1000 he can buy a... (answered by josmiceli)

On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup (answered by greenestamps)

the coffee shop sold 350 cup cups of coffee this week and collected $230 in sales.... (answered by checkley79)

On Monday,the office staff at your school paid $8.77 for 4 cups of coffee and 7 bagels.... (answered by Gogonati)

Kelly has a coffee shop. Tea is $1.05, Coffee is $1.35, and Hot Chocolate is $2.25. One (answered by nerdybill,stanbon)

You sell coffee cups at a fair booth. The large cups cost $4, while the small cups cost... (answered by privani)

Sung’s Coffee Shop sells a cup of tea for $1.05, a cup of coffee for $1.35, and a cup... (answered by ewatrrr,josgarithmetic)