Answer:
The cost of one cup of hot chocolate is $4.50
Step-by-step explanation:
Let
x ----> the cost of one cup of hot chocolate
y ----> the cost of one cup of hot tea
we know that
3x+4y=25.50 ------> equation A
y=(2/3)x -----> equation B
Solve the system of equations by substitution
substitute equation B in equation A and solve for x
3x+4(2/3)x=25.50
3x+(8/3)x=25.50
(17/3)x=25.50
x=25.50*3/17
x=$4.50
therefore
The cost of one cup of hot chocolate is $4.50
Answer: Each cup of hot chocolate cost $4.5
Step-by-step explanation:
Let be "c" the cost of each cup of hot chocolate and "t" the he cost of each cup of tea.
We need to set up the following system of equations:
[tex]\left \{ {{3c+4t=25.50} \atop {t=\frac{2}{3}c}} \right.[/tex]
Applying the Method of Substitution, we must substitute the second equation into the first one and then solve for "c":
[tex]3c+4(\frac{2}{3}c}})=25.50\\\\3c+\frac{8}{3}c=25.50\\\\\frac{17}{3}c=25.50\\\\c=\frac{25.50*3}{17}\\\\c=4.5[/tex]
Therefore: Each cup of hot chocolate cost $4.5
