Question

Josh sold 465 bottles of apple cider and 605 bottles of wine. He made $10,050 altogether. If he sold 465 bottles of apple cider and only 586 bottles of wine, he would just make $9,822. How much did 605 bottles of wine sell for? $______

Answer 1

Answer:   605 bottles of wine sell for $5,445

Step-by-step explanation:

Hi, we have to write an equation for each case

465 a + 605w =10050

465a+586w=9882

Where “a” is the price of a bottle of apple cider, and “w”is the price of a bottle of wine.

Solving for a in the first equation

465 a + 605w =10050

465a =10050-605w

a= (10050-605w)/465

a= 21.61-1.30w

Replacing "a" in the second equation

465 ( 21.61-1.30w) +586w=9882

10048.65 -604.5w +586w=9882

-604.5w+586w =9882-10048.65

-18.5w=-166.65

w= -166.65/-18.5

w= 9  

Each bottle of wine sells for $9,  

605 bottles:

605x9 = $5,445

Answer 2

Answer:

465a + 605w = $10050

465a + 586w = 9822

465a + 605w = 10050

-465a - 586w = -9822

19w = 228

w= $12 each for wine

465a + 605(12)= 10050

465a + 7260= 10050

465a = 2790

a =$6 each apple cider