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natka813 [3]
3 years ago
6

A fish market bought two swordfish at a rate of $13 per pound. the cost of the larger fish was 3 times as great as the cost of t

he smaller fish. the total cost of the two fish was $3952. How much did each fish weigh?
Mathematics
2 answers:
Leokris [45]3 years ago
6 0
Very simple. divide 3952 by 4, because the larger fish is 3 times the amount of the small fish, so there are 4 groups. Multiply it by 3 for the larger fish and keep it for the small fish.  Then, divide the products by 13 because the quotient is the amount of money each fish costs. There you have your answer!
Ganezh [65]3 years ago
3 0

Let

x--------> the cost of the larger fish

y--------> the cost of the smaller fish

we know that

x+y=\$3,952 -------> equation A

x=3y  -------> equation B

Step 1

<u>Solve the system of linear equations</u>

Substitute equation B in equation A

3y+y=\$3,952

4y=\$3,952

y=\$3,952/4

y=\$988

<u>Find the value of x</u>

x=3*988=\$2,964

Step 2

<u>Find the weigh of each fish</u>

we know that

the rate is 13\frac{\$}{pound}

To obtain the weigh of the fish divide the cost of the fish by the rate

<u>Larger fish</u>

<u>\frac{2,964}{13} =228\ pounds</u>

<u>Smaller fish</u>

<u>\frac{988}{13} =76\ pounds</u>

therefore

<u>the answer is</u>

The weigh of the larger fish was <u>228\ pounds</u>

The weigh of the smallerr fish was <u>76\ pounds</u>


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