Birdseed costs ​$0.69 a pound and sunflower seeds cost ​$0.99 a pound.

Question

Birdseed costs ​$0.69 a pound and sunflower seeds cost ​$0.99 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.91 per a pound. How many pounds of each type of seed should she​ use?

Answer 1

Nice work Raymond! Check this video if you need some help on setting up the two equations needed.

https://drive.google.com/file/d/1Bf430EK_c88zO2Oob1xJSXzGJ8WAuEbQ/view?usp=sharing

Answer 2

.99(50-x) + .69x = .91(50)

49.5 - .99x + .69x = 45.5

.30x = 4

x = 4/.30= 40/3 = 13 1/3 lbs of sunflower seed

50-x = 36 2/3 lbs of bird seed

.99 is within .08 of .91

.69 is within .22 of .91

you need 22/8 times as much .99 as you need .69

22/8 = 11/4

11/4 x 40/3 = 110/3 = 36 2/3