Question

At the supermarket each pound of soybeans cost five times as much as each pound of wheat. If the total cost 4.7 pounds of soybeans and 2.4 lb of weed is 51.80 dollars what is the cost of each pound of soybeans in each pound of weed.

Answer 1

Answer:

Cost of each pound of Soybean is $10 and each pound of wheat is $2.

Step-by-step explanation:

Let the Cost of each pound of soybeans be 'x'.

Also let Cost of each pound of wheat be 'y'.

Now Given:

each pound of soybeans cost five times as much as each pound of wheat.

so equation can be framed as;

$x=5y$  ⇒ Equation 1

Now Given:

Amount of soybean = 4.7 lb

Amount of wheat = 2.4 lb

Total Cost = $51.80

Now we can say that;

Total Cost is equal to sum of Amount of soybean multiplied by Cost of each pound of soybeans and Amount of wheat multiplied by Cost of each pound of wheat.

framing in equation form we get;

$4.7x+2.4y =51.8$ ⇒ Equation 2

Now Substituting equation 1 in equation 2 we get;

$4.7(5y)+2.4y=51.80\\\\23.5y+2.4y=51.80\\\\25.9y=51.80$

Now Dividing both side by 25.9 we get;

$\frac{25.9y}{25.9}=\frac{51.8}{25.9}\\\\y=\ 2$

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

$x=5y =5\times 2=\ 10$

Hence Cost of each pound of Soybean is $10 and each pound of wheat is $2.