Given :
- The 8 grade class is selling pennants and flags.
- They earn $1 for each pennant
- sold and $6 for each flag sold.
- They sell 50 items and earn $115.
To Find :
- How many pennants and how many flags did they sell?
Solution :-
Let us take that ,
→ number of flags sold = f
→ number of pennant sold = p
Money earned by selling flags
→ Money = $6 * f = $6f
Money earned by selling pennants
→ Money = $1*p = $1p
Total money earned
→ Total Money = $6f + $1p
Total items sold
→ Total items = f + p = 50 . . . . . (i)
According to the question ,
→ 6f + p = 115 . . . . . (ii)
Solving equations (i) and (ii) ,
On subtracting them ,
→ 6f - f = 115 -50
→ 5f = 65
→ f = 65/5
→ f = 13
Substitute this in equation (i) ,
→ 13 + p = 50
→ p = 50 -13 = 37
Hence they sold 13 flags and 37 pennants .
I hope this helps .