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Vlad [161]
2 years ago
11

1.

Mathematics
2 answers:
OLEGan [10]2 years ago
6 0

Answer:

320\ g

Step-by-step explanation:

Start by setting up a ratio:

\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}

\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}

Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):

240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g

nikitadnepr [17]2 years ago
4 0

Answer: 320 g

Step-by-step explanation:

We can set up a ratio.

Let the amount of oats equal to x.

18/240 = 24/x

We can now cross multiply.

18x = 5760.

x = 320 g

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Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty
Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

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

First, set up the equations for each coin:

\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

   Nickels         +   Dimes  +   Quarters = Sum

(0.30 + 0.05d)  +    0.10d   +     0.50d   =  4.85

0.30 + 0.65d = 4.85

            0.65d = 4.55

                    d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d   = 6 + (7)   = 13

quarters: 2d   = 2(7)   = 14

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