Answer:
6 hours.
Step-by-step explanation:
Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.
Part of work completed by apprentice in one hour would be 
.
We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be 
.
While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be 
.
Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:
Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.
Answer:
<em>He bought 6 hotdogs and 2 drinks</em>
Step-by-step explanation:
<u>System of Equations</u>
Kevin and his children went into a restaurant and bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25.
To solve the system of equations, we'll call the variables:
x = number of hotdogs
y = number of drinks
The first condition yields the equation:
4.50x + 2.25y = 31.50 [1]
It's also known he bought 3 times as many hotdogs as drinks, thus:
x = 3y [2}
Substituting [2] in [1]:
4.50(3y) + 2.25y = 31.50
Operating:
13.5y + 2.25y = 31.50
15.75y = 31.50
y = 31.50/15.75
y = 2
And
x = 3*2 = 6
He bought 6 hotdogs and 2 drinks
Graph is your answer look below for proof
have a good day!
Answer:
Download math)way it helps I swear
Step-by-step explanation:
