Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Ratio |
Grade: 6-a Lesson: S3-L7 |
Explanation: Let us verify the answer here with the steps. |
Lesson Steps Head1
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Baker A baked cookies in a ratio of 7:3 to Baker B. Similarly, Baker B baked cookies in a ratio of 3:4 to Baker C. If Baker C baked 54 cookies, what is the difference between the number of cookies baked by Baker A and Baker C? |
|
2 |
Hint |
Consider x for the unknown number of cookies |
|
3 |
Step |
The ratio of number of cookies baked by baker A to baker B is |
7x : 3x |
4 |
Step |
The ratio of the number of cookies baked by baker B to baker C is |
3x : 4x |
5 |
Step |
The number of cookies baked by baker C is 54, so the total number of cookies is |
4x = 54 |
6 |
Formula: |
After simplification, we get |
\$x = cancel54^13/cancel4^1\$ x = 13.5 |
7 |
Step |
Now calculate the number cookies baked by baker A is |
A = 7x |
8 |
Step |
Substitute the x value in ratio we get number of cookies value |
A = \$7 times 13.5\$ A = 94.5 |
9 |
Step |
The difference between the number of cookies baked by Baker A and Baker C is |
94.5 - 54 = 40.5 |
10 |
Answer |
C |
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