Huixian needs to pack 171 pens,63 pencils and 27 erasers in to identical gift bags so that each item is equally distributed among the gift bags. find (i) the largest number of gift bags that can be packed, (ii) the number of each item in a gift bag

i) 9

ii) 19 pens, 7 pencils, 3 erasers

Step-by-step explanation:

i) 171 = 3² x 19

   63 = 3² x 7

    27 = 3³

Highest Common Factor/HCF (171, 63, 27) = 3² = 9

Largest no. of bags = 9

ii) In each bag,

   No. of pens = 171 / 9 = 19

   No. of pencils = 63 / 9 = 7

   No. of erasers = 27 / 9 = 3

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right