Question

A man has a number of ducks costing $10 each and three times as many chickens costing $6 each. If the total cost of ducks and chickens is $420, find the number ducks and chickens of the man has.

Answer 1

Step-by-step explanation:

let X be the no of ducks

let y be the no of chickens 1

given condition

10x+6y=420

5x+3y=240

it is given that

X=3y

I hope you can solve this further

Answer 2

The number of  ducks is 15 and number of chicken is 45

Step-by-step explanation:

Let the number of ducks =$x$

Let the number of chicken = $3 x$

Cost of 1 duck = $$10$

Cost of x ducks = $ $10 x$

Cost of 1 chicken = $$6$

Cost of x chickens  = $$6(3 x)$=$ $18x$

Now according to question the total cost of ducks and chickens is $420

we have

$10x+ 18x = 420 \\\\\Rightarrow 28x= 420 \\\\\Rightarrow x= 15$

Therefore number of  ducks = 15

number of  chickens= 15 x 3 = 45

Hence, the number of  ducks is 15 and number of chicken is 45

#Learn more

The cost of 3 pen and 6 pencil is 78₹ three times the cost of a pen is 6 more than 3 time the cost of a pencil . find the cost of a pen and a pencil.

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