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Mary's children decide to run a lemonade stand to earn some extra money.The cost to start the business is $1.20 and each cup of lemonade costs 6 cents to make. If lemonade sells for 10 cents a cup,how many cups must Mary's children sell to make a profit?----Apply systems of equations

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They must sell, 30 cups of lemonade. How I got my answer.

Since it cost $1.20 to start, and a cup of lemonade cost $0.6 to make and there selling them at $0.10 each. So we know they are making a $0.4 profit off of each cup of lemonade. We now have to multiply 4×30=120.

I hope this helps!

Answer:

They need to sell at least 13 cups to gain profits.

Step-by-step explanation:

Givens

  • The initial cost is $1.20.
  • Each cup of lemonade costs 6 cents to make.
  • May's children sell 10 cents a cup.

First, we need to represents the cost of their investment.

[tex]0.06x=1.20[/tex], because each cup costs 6 cents, and the initial costs of all is $1.20.

That means,

[tex]x=\frac{1.20}{0.06}= 20[/tex]

They can produced 20 cups.

However, they already sell a cup for 10 cents. So, how many cups they need to sell to gain profits? We need to establish a similar relation,

[tex]0.10x=1.20\\x=\frac{1.20}{0.10} = 12[/tex]  

This means if they sell 12 cups, they will just cover the investement, that is, zero profits.

Therefore, they need to sell at least 13 cups to gain profits.

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