Answer:
Yes, it is worth the extra drive, going to the further store is cheaper.
The cheaper option saves you $0.89.
Step-by-step explanation:
1.) Neighborhood store
It is 2.4 miles away
The car averages about 25 miles per gallon, then you would need:
2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)
The gas is about $3.89/gallon, then the gas would cost:
0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37
The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:
6 pounds * ($3.49/pound) = $20.94
In total you would need:
$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store
2.) Store acroos town
It is 8.2 miles away
The car averages about 25 miles per gallon, then you would need:
8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)
The gas is about $3.89/gallon, then the gas would cost:
0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28
The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:
6 pounds * ($3.19/pound) = $19.14
In total you would need:
$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town
$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.
The cheaper option saves you: $21.31-$20.42=$0.89
. Filling in accordingly, we have x+4(x+4+1)=x+1(x+1+11). Simplifying that we get (x+4)(x+5)=(x+1)(x+12). We will FOIL both sides to get 
. Combining like terms gives us this simplification: 0=4x-8. If we factor out the common 4, we have 0 = 4(x-2). By the Zero Product Property, eitheer 4=0 or x-2=0. Well obviously, 4 does not equal zero, so x-2 = 0, and x = 2.
