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Leona [35]
3 years ago
15

How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costi

ng $4 per pound?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0
Let nails 7/pound=N1
nails 3/pound=N2

let N1=x
N2=6
then total=x+6
7x+6*3=(x+6)*4
7x+18=4x+24
3x=6
x=2
so 2 pounds on Nails costing 7/pound must be added
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\huge\text{Hey there!}

\large\text{We cannot  do much of nothing because we don’t have all the information}\\\large\text{to solve.. so we can just simply do process of elimination until we fully find}\\\large\text{the ANSWER you are trying to look for.}

\large\text{Given equation: 25b - 14b}\\\large\text{COMBINE your LIKE TERMS}\\\large\text{\underline{25b - 14b} = 11b}\\\large\text{So, we are looking for an equation that gives us \bf{11b}}

\large\text{Option A.}\downarrow\\\large\text{b(25 - 14)}\\\large\text{DISTRIBUTE: b(25) + b(-14)}\\\bullet\large\text{ Reverts to: 25b - 14b (our ORIGINAL EQUATION) so this can be}\\\large\text{equal to 11b}\\\\\large\text{Option A. could POSSIBLY  be your ANSWER}

\large\text{Option B. }\downarrow\\\large\text{b(25 + 14)}\\\large\text{Distribute}\\\large\text{25(b) + 14(b)}\\\large\text{It DOES NOT revert to the original equation. It gives us: 25b + 14b}\\\large\text{If we COMBINE your LIKE TERMS in that equation. We would get: 39b}\\\large\bf{39b \neq 11b}\\\\\large\text{Option B is NOT your ANSWER}

\large\text{Options C and D CANNOT be your answers because Option C. is}\\\large\text{-11b and Option D. is -39b}

\boxed{\boxed{\large\text{To sum it all up, your ANSWER is: \bf{Option A. b(25 - 14)}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

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