Question

Evergreen Landscaping bought 4 tons of topsoil and 3 tons of mulch for $1460. The next week the
firm bought 5 tons of topsoil and 2 tons of mulch for $1391. Find the price per ton for each item.

Answer 1

Answer:  The price per ton of topsoil is $179

and price per ton of mulch is $248.

Step-by-step explanation:

Let price of 1 ton of topsoil be x

and price 1 ton of mulch be y

According to question

4x + 3y = $1460   -(i)

and 5x + 2y = $1391    -(ii)

Now solving these linear equations

By multiply (i) equation with 5 and divide it by 4

we get 5x + $\frac{15}{4}$y = $1825  -(iii)

Subtract equation (ii) from equation (iii)

5x +$\frac{15}{4}$ y - 5x - 2y = $1825-$1391

$\frac{7}{4}$y=$434

y = $434х$\frac{4}{7}$ = $248

put value of y in equation (i)

4x + 3($248) = $1460

4x - $744 =$1460

4x = $716

x = $179

The price per ton of topsoil is $179

the price per ton of mulch is $248.

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