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lewismichelle11
06.07.2019 •
Mathematics
Jinas coffee shop makes a blend that is a mixture of two types of coffee. type a cost jina $5.55 per pound, and type b coffee cost $4.40 per pound. this month, jina made 144 pounds of the blend, for a total cost of $700.30. how many pounds of type b coffee did she use?
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Ответ:
86 pounds
Step-by-step explanation:
we have to make equations using the given information. then solve for our question.
Let,
Jina used x pounds of type B coffee.
Since, total used coffee is of 144 pounds.
So, type A coffee is of (144-x) pounds.
Now,
type A costs 5.55 per pound.
So, for (144-x) pounds
total cost for type A=5.55 (144-x)
And type B costs 4.40 per pound.
So, for x pounds
total cost for type B= 4.40 x
Since, total cost was 700.30
So, we get
5.55(144-x)+ 4.40x=700.30
or, 799.2- 5.55x+4.40x=700.30
or, 799.2 - 1.15x =700.30
or, -1.15 x=700.30-799.2
or, -1.15 x=-98.9
or, x=![\frac{-98.9}{-1.15}](/tpl/images/0056/9103/f5a48.png)
=86
So,
86 pounds of type B coffee was used
Ответ: