## Claire4christ 3 years ago Can someone help me with this. A mixture of 30 lbs. of candy sells for \$1.10 a pound. The mixture consists of chocolates worth \$1.50 a pound and chocolates worth 90¢ a pound. How many pounds of each kind were used to make the mixture? ___ lbs. of \$1.50 chocolates and ____ lbs. of 90¢ chocolate

1. baldymcgee6

okay, so the bag of 30 lb candy will cost how much total?

2. Claire4christ

1.10

3. baldymcgee6

the candy is worth 1.10 per lb, we have 30lbs of it, so therefore, 30lb * \$1.10 per lb = \$33.00

4. baldymcgee6

Does that part make sense?

5. Claire4christ

15x+33=270-9x

6. Claire4christ

yes it does

7. baldymcgee6

lets try it this way, x + y = 30 lb \$1.5x + \$0.90y = \$33.00

8. baldymcgee6

Does that part now make sense?

9. Claire4christ

yes

10. baldymcgee6

Do you know how to solve it?

11. Claire4christ

are we solving for x

12. baldymcgee6

Well, we have to equations, we will use the method of sub substitution to solve them. Since we have two unknowns (x and y), we need two equations to solve the system. x + y = 30 lb Solve for x x = 30 - y Now we know what x is in terms of y, so lets sub that into our second equation. \$1.5y + \$0.90x = \$33.00 \$1.5y + \$0.90(30 - y) = \$33.00 Now we must solve for y