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Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes = ...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)
=
=
=
x=4.5
=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
Answer:
The equation that best models this situation is :
b.
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Given:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
<em>Let length of the trip of Train W be </em>= miles
Speed of Train W can be given as :
⇒
⇒
<em>So, the length of the trip of Train Z will be</em> = miles
Speed of Train Z can be given as :
⇒
⇒
Since the speeds are same, so the equation to find can be given as:
⇒
Solving for
Multiplying both sides by 100 to remove fractions.
⇒
⇒
Using distribution.
⇒
Subtracting both sides by
⇒
⇒
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = = 2,000 miles