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How many pounds of $2.4/lb trail mix should a grocer combine with 5 lb of $1.5/lb trail mix to get $1.9/lb trail mix?

Sagot :

Answer:

4

Step-by-step explanation:

You can create little buckets.

2.4(x-5)+1.5*5=1.9x

x=9 and then you substitute for x-5.

9-5 =4

View image nairaadit45

The quantity of trail mix that can be combined with 5 lb of $1.5/lb trail mix to get $1.9/lb trail mix is 1.74lb

How to find quantity of trail mix that should be combined

let

  • x = quantity of trail mix that cost $1.9

5lb = $1.5

x - 5 = $2.4

2.4(x - 2) + 1.5(5) = 1.9(x)

2.4x - 4.8x + 7.5 = 1.9x

-2.4x + 7.5 = 1.9x

7.5 = 1.9x + 2.4x

7.5 = 4.3x

x = 7.5 / 4.3

x = 1.74418604651162

Approximately,

x = 1.74

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