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irishman300
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A grocery store has small bags of apples for $5 and large bags of apples for $8. If you buy 6 bags and spend $45, how many of each size bag did you buy?

Verified Answer :

metchelle

Based on the given problem above, here is the given solution.
Given that small bags = $5
                 large bags = $8
                 6 bags = $45
                 ? = number of each size bag you bought
The answer based on the given values above is 5 LARGE BAGS and 1 SMALL BAG.
Since per large bag is $8. $8 x 5 = $40
And per small bag is $5 x 1 = $5
So this gives you a total of $45
hope this helps!

Answer:

5 large bags and 1 small bag

Step-by-step explanation:

Let's start with:

\(x=small\) \(bags\) → 5 dollars

\(y=large\) \(bags\) → 8 dollars

Now we write system of equations:

\(\left \{ {{x+y=6} \atop {5x+8y=45}} \right.\)

Separate y.

\(y=6-x\)

\(5x+8(6-x)=45\\5x-8x=45-48\\-3x=-3\\x=1\)

Back to first equation.

\(y=6-1\\y=5\)

I have got 5 large bags and 1 small bag.

Hope this helped :D