Birdseed costs $0.52 a pound and sunflower seeds cost $0.82 a pound. Angela Leinenbachs' pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for $0.72 per a pound. How many pounds of each type of seed should she use?

she should use 13 pounds of birdseed and 27 pounds of sunflower seeds.

Step-by-step explanation:

Let x represent the number of pounds of birdseed that she should use.

Let y represent the number of pounds of sunflower seeds that she should use.

Angela Leinenbachs' pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds. It means that

x + y = 40

Birdseed costs $0.52 a pound and sunflower seeds cost $0.82 a pound. If the mixture would sell for $0.72 per a pound, then the total cost of the mixture would be 0.72 × 40 = $28.8

The equation would be

0.52x + 0.82y = 28.8- - - - - - - - - -1

Substituting x = 40 - y into equation 1, it becomes

0.52(40 - y) + 0.82y = 28.8

20.8 - 0.52y + 0.82y = 28.8

- 0.52y + 0.82y = 28.8 - 20.8

0.3y = 8

y = 8/0.3 = 27

x + y = 40

x + 27 = 40

x = 40 - 27

x = 13

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step-by-step explanation: