Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quiz
zes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.
1 answer:
First, underline the key numbers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
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Answer:
The time taken by both when they work together is 2 hours 42 minutes .
Step-by-step explanation:
Given as :
The time taken by Ryan to dig 10 ft by 10 ft hole = x = 5 hours
The time taken bu Castel to dig 10 ft by 10 ft hole = y = 6 hours
Let The time taken by both when they work together = z hours
<u>According to question</u>
The time taken by both when they work together = time taken by Ryan to dig 10 ft by 10 ft hole + time taken bu Castel to dig 10 ft by 10 ft hole
i.e =
+
Or, =
+
<u>Taking LCM</u>
Or, =
Or, =
Or, z = hours
∴ z = 2 hours 42 minutes
So, The time taken by both when they work together = z = 2 hours 42 min
Hence, The time taken by both when they work together is 2 hours 42 minutes . Answer