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MaRussiya [10]
3 years ago
14

If a 12 ounce box of cereal costs $3.84, how many ounces should be in a box marked $2.49?

Mathematics
2 answers:
Ivan3 years ago
6 0

Answer:

  • 7.78 ounces

Step-by-step explanation:

<u>We know that:</u>

  • 12 ounce box of cereal = $3.84

<u>Work:</u>

  • 12/3.84 ounce box of cereal = $1
  • => 12/3.84 x 2.49 box of cereal = $2.49
  • => 7.78 ounces (Rounded to nearest hundredth) = $2.49

Hence, 7.78 ounces cost $2.49.

Nostrana [21]3 years ago
6 0

7.8125 ounces

Step-by-step explanation:

Based on given conditions,

\frac{2.49 \times 12}{3.84} \\  =  >  \frac{ \frac{249}{100} \times 12 }{ \frac{384}{100} }

=  >  \frac{ \frac{249}{25} \times 3 }{ \frac{96}{25} }

=  > \frac{249}{25} \times 3 \times  \frac{25}{96}

=  > 83 \times 3 \times  \frac{1}{32}

=  > \frac{83 \times 3}{32}

=  >  \frac{249}{32}

=  > 7.78125ounces

By rounding off,

=  > 7.9ounces

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Step-by-step explanation:

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Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc
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Answer:

The system of equation that represent this situations are;

\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

h+s=15 \ \ \ \ equation \ 1

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

0.2h+0.1s=2 \ \ \ \ \ equation \ 2

Hence the system of equation that represent this situations are;

\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3

Now Subtracting equation 1 from equation 3 we get;

(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5

Now Substituting the value of h in equation 1 we get;

h+s= 15\\5+s =15\\s=15-5\\s=10

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

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Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

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