Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Measurment |
Grade: Best-SAT3 Lesson: S4-P2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
If decreasing 45 by x percent is the same as increasing 15 by x percent, what is the value of x? |
|
2 |
Step |
Decreasing 45 by x percent: |
\$45 - x/100 \times 45\$ |
3 |
Step |
Increasing 15 by x percent: |
\$15 + x/100 \times 15\$ |
4 |
Step |
According to the problem, the two expressions are equal: |
\$45 - x/100 \times 45\$ = \$15 + x/100 \times 15\$ |
5 |
Step |
After simplify the equation, we get |
\$x = 50\$ |
6 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
7 |
Choice.A |
This option doesn’t match the value of x obtained through the calculation |
60 |
8 |
Choice.B |
This option is incorrect. It doesn’t match the result we obtained after solving the equation |
40 |
9 |
Choice.C |
This option is incorrect because it doesn’t satisfy the equation we derived from the given condition |
70 |
10 |
Choice.D |
This option is correct because 50 gives us a balanced equation where both sides are equal when x = 50 |
50 |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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