Afarmer grows 196kg of carrots. he sells them to a grocer who divides them into 5kg and 2kg bags. if the grocer uses the same number of 2kg and 5kg bags, how many of each does he use? explain your thinking.

28 bags of each weight

Step-by-step explanation:

Let x be the number of 2 kg bags and 5 kg bags.

Amount of carrots in x 2-kg bags = 2x kg

Amount of carrots in x 5-kg bags = 5x kg

Total amount in all bags = 2x + 5x = 7x kg

A farmer sells 196 kg of carrots, so

Divide by 7:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3