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May someone please help me?

May someone please help me?-example-1
User Eric Soyke
by
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1 Answer

4 votes

Answer:

grapes cost $1.25 per pound

blueberries cost $4 per pound

Explanation:

We have two unknowns, the cost of grapes and the cost of blueberries.

I'll call grape g and blueberries b.

since 21lb grapes and 44lb of blueberry cost $202.25, we can set up our first equation.

21g + 44b = 202.25

and the question also said 30lb grape and 22lb blueberries cost $125.50, we can set up our second equation.

30g + 22b = 125.5

now that we have two equations, you can use any methods you want to solve for the variable. I'm gonna use elimination.

21g + 44b = 202.25

-2(30g + 22b = 125.50)

━━━━━━━━━━

-39g = -48.75

g = 48.75/39

g = 1.25, grapes cost $1.25 per pound

now use substitution to find the cost of blueberries. you know the value of g now so plug it back in to one of the equation.

21g + 44b = 202.25

21(1.25) + 44b = 202.25

26.25 + 44b = 202.25

44b = 176

b = 4 , blueberries cost $4 per pound

User Peveuve
by
4.6k points