Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend.
He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of
hot sauce he put in each batch by 2 ounces. Bert used 24 ounces of hot sauce in all to make
the wing sauce.
Which equation can you use to find u, the amount of hot sauce Bert's uncle usually puts in
each batch of spicy wing sauce?
3(u - 2) - 24
2(0 - 3) - = 24
3u - 2 = 24
2u - 3 = 24
How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?
Write your answer as a whole number or a simplified fraction.
ounces

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adefunkeadewole adefunkeadewole · Answer 1 · 2021-10-22T13:21:55+02:00

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation to show how many ounces of spicy sauce Bert's uncle usually put in is given as: 3(u - 2) = 24

The amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce is 10 ounces.

a) We are told in the question that Bert made 3 batches of his uncle's spicy sauce. He reduced the amount of hot sauce and used 2 ounces in each batch. He used 24 ounces of hot sauce in all to make the wing sauce.

Let's represent each ounce of hot sauce as u

Hence, the equation to show how many ounces of spicy sauce Bert's uncle usual put in is given as:

3(u - 2) = 24

b) How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?

The amount of hot sauce Bert's uncle puts in the spicy wing sauce

3(u - 2) = 24

3u - 6 = 24

Collect like terms

3u = 24 + 6

3u = 30

Divide both sides by 3

u = 30/3

u = 10

Bert's uncle puts 10 ounces of hot sauce in the spicy wing sauce.

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