Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only p
laying $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge's work is shown below.
1 answer:
Given that,
Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games.
Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining.
The attached figure shows the equation that Jorge had :
8.25-0.25x=9.75-0.75x
Subtract 9.75 to both sides
8.25-0.25x-9.75=9.75-0.75x-9.75
-1.5-0.25x=-0.75x
Add 0.25x to the both sides,
-1.5-0.25x+0.25x=-0.75x+0.25x
-1.5=-0.5x
⇒ x = 3
Jorge is incorrect at step 2 where he taken -0.25x to the RHS such that -0.75x+0.25x, he get 0.5x instead of (-0.5x). Hence, From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
You might be interested in
Answer:
Step-by-step explanation:
Proportional functions can be represented by , where
is a constant of proportionality and
represents any point the line passes through.
In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:
Given:
Total Yogurt = cups
Yogurt required for each smoothie = cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,
Substituting the given values, we get
Therefore, the number of smoothies is 12.