Question
Sixty boys and girls divided a sum of
.
If each boy gets 79 cents and each girl gets 139 cents, what is the number of boys
and girls in the group?
If each boy gets 79 cents and each girl gets 139 cents, what is the number of boys
and girls in the group?
Ask by Nichols Norris. in Australia
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 54 boys and 6 girls in the group.
Solution
Let’s denote:
-
as the number of boys -
as the number of girls
We are given two main pieces of information:
-
Total number of children:
-
Total amount of money distributed:
Each boy receives $0.79 and each girl receives $1.39, summing up to $51.
To eliminate decimals, multiply the second equation by 100:
Substituting
into the equation:
Finding the number of boys:
Verification:
- Amount for boys:
dollars - Amount for girls:
dollars - Total:
dollars (matches the given total)
Conclusion:
There are 54 boys and 6 girls in the group.
There are 54 boys and 6 girls in the group.
Answer:
54 boys and 6 girls are in the group.
54 boys and 6 girls are in the group.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
Let the number of boys be
and the number of girls be
. According to the problem, we have two equations based on the given information:
-
The total number of boys and girls is 60:
-
The total amount of money distributed is
, which is cents. Each boy receives 79 cents and each girl receives 139 cents, leading to:
Now, we can solve these equations step by step. First, we can solve the first equation for
:
Next, we can substitute this expression for
into the second equation:
Expanding this gives:
Now, combine like terms:
Next, subtract 8340 from both sides:
Dividing both sides by -60, we find:
Now that we have
, we can find
:
Thus, the number of boys is
, and the number of girls is
.
In conclusion, there are
boys and
girls in the group.