9. 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. How many
pennants and how many flags did they sell?

Given :

To Find :

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 .

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