Bernardo travels the same distance at 25mph as he does at 50mph. However, since 25mph is only half of 50 mph, he must travel twice as long at 25mph. If you call the time he traveled 50mph "t", then
<span>t+2t=3 </span>
<span>3t=3 </span>
<span>t=1 </span>
<span>This means he traveled 1 hour at 50mph. In this time, he traveled 50 miles. He traveled the same distance at 25mph, so his total distance was </span>
<span>50miles+50miles=100miles </span>
<span>so the round trip was 100 miles.</span>
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14
What is ratio?
Ratio is a quantitative relationship between two values indicating the number of times one value contains within the other value
In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts
There are 22 sundaes with nuts
number of sundaes without nuts=50-22
number of sundaes without nuts=28
sundaes with nuts/sundaes without nuts=22/28
2 is common to both numbers
sundaes with nuts/sundaes without nuts=11/14
Find out more about ratio on:brainly.com/question/2328454
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