Fill in the blank.During a fund-raising event, a group of friends raised $335.There are 40 friends in the group.Some friends donated $5, while some donated $10.How many friends donated $5?
Question
Fill in the blank.During a fund-raising event, a group of friends raised 5, while some donated 5?
Solution
Let's denote the number of friends who donated 10 as y.
From the problem, we have two equations:
-
x + y = 40 (since there are 40 friends in total)
-
5x + 10y = 335 (since the total amount of money raised is $335)
We can simplify the second equation by dividing it by 5:
x + 2y = 67
Now we have two equations with the same format:
x + y = 40
x + 2y = 67
By subtracting the first equation from the second, we get:
y = 67 - 40 = 27
Substitute y = 27 into the first equation:
x + 27 = 40
x = 40 - 27 = 13
So, 13 friends donated $5.
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