Jeff has already prepared 6 kilograms of dough and will continue preparing 1 kilogram of
2 answers:
<u>ANSWER: </u>
Dough prepared by Jeff after working for 11 hours is 17 kg
<u>SOLUTION: </u>
Given that, Jeff has already prepared 6 kg of dough.
And, he will continue preparing at the rate of 1 kg of dough per an hour.
Rate of preparation = = 1 kg per hour.
If Jeff worked for 11 hours, then dough prepared = rate of preparation time taken
Dough prepared =
Dough prepared = 11 kg
Total dough prepared by Jeff = already prepared 6kg of dough + dough prepared in 11 hours
Total dough = 6 + 11 = 17kg
Hence, dough prepared by Jeff after working for 11 hours is 17 kg
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Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this: