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3 years ago

Bowser bought mushrooms

Mathematics

1 answer:

8090 [49]3 years ago

5 0

The amount he should pay for 5 pounds of mushrooms is $3.6

<u>Step-by-step explanation:</u>

Given data is that,

Bowser bought 6 pounds of mushrooms at a rate of $4.32

At the same rate, determining that how much he should pay for 5 pounds of mushrooms is given by the rate formula.

Rate = total cost / total number of mushrooms

Now, Rate = 4.32 / 6

Let us assume, the cost for 5 pounds as 'x' dollars.

Therefore, Rate = x / 5

<u>To find the value of x, compare both the rates :</u>

⇒ 4.32 / 6 = x / 5

bringing 5 to the left side of the equation,

⇒ (4.32×5) / 6 = x

⇒ x = 21.6 / 6

⇒ x = 3.6 dollars

The amount he should pay for 5 pounds of mushrooms is $3.6

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7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

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<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

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3 years ago