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A local boys club sold 156 bags of mulch and made a total of $303. It sold two types of mulch: hardwood for $2.50 a bag and pine bark for $1.75 a bag. How many bags of each kind of mulch did it sell?

Please help! Need today!

Respuesta :

Answer:

They sold 40 bags of hardwood and 116 bags of pine bark.

Step-by-step explanation:

Let x be the amount of hardwood bags they sold and y be the amount of pine bark bags they sold. We can use this to set up an equation:

x+y=156

2.5x+1.75y=303

Let's change the first equation into:

x=156-y

We can solve using substitution (substitute 156-y for x)

2.5(156-y)+1.75y=303

390-2.5y+1.75y=303

390-0.75y=303

Subtract 390 from both sides

-0.75y=-87

Divide both sides by -0.75

y=116

x=156-y

x=156-116

x=40

They sold 40 bags of hardwood and 116 bags of pine bark.