Question

The produce market sells corn at the rate of 5 ears for $1.30. At this rate, how much will a dozen ears cost? $3.12 $3.85 $2.60 $3.90

Answer 1

Answer:

$3.12

Step-by-step explanation:

Here, as per the provided information in the given question, we have :

• Cost of 5 ears of corn = $1.30

We are asked to find how much will a dozen ears cost if the produce market sells corn at the rate of 5 ears for $1.30.

We'll be using unitary method to solve this question. Firstly, we'll find the cost of one 1 ear of corn, then we'll multiply with 12 to find how much will a dozen ears cost.

If cost of 5 ears corn is $1.30. So,

$\longrightarrow \sf { Cost \: of\: 1\: ear = \ \dfrac{1.30}{5} }$

$\longrightarrow \sf { Cost \: of\: 1\: ear = \ \dfrac{130}{5 \times 100} }$

$\longrightarrow \sf { Cost \: of\: 1\: ear = \ \dfrac{130}{500} }$

$\longrightarrow \sf { Cost \: of\: 1\: ear = \ \dfrac{26}{100} }$

$\longrightarrow \underline{\boxed{\sf { Cost \: of\: 1\: ear = \ 0.26}}}$

Now, it is known to us that 1 dozen contains 12 objects. That means 1 dozen of corn's ear contains 12 ears.

Since, we know that the cost of 1 ear is $ 0.26, so we'll multiply the cost of 1 ear with 12 ears to find the cost of a dozen ears.

$\longrightarrow \sf { Cost \: of\: 12 \: ears = \ \: ( 0.26 \times 12) }$

$\longrightarrow \sf { Cost \: of\: 12 \: ears = \ \: \Bigg ( \dfrac{26}{100} \times 12 \Bigg ) }$

$\longrightarrow \sf { Cost \: of\: 12 \: ears = \ \: \Bigg ( \dfrac{312}{100} \Bigg ) }$

$\longrightarrow \underline{\boxed{\sf { Cost \: of\: 12\: ears = \ 3.12 }}} \; \bigstar$

$\therefore$ Cost of 12 ears is $3.12.