Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. when olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. however, each item comes in a different sized package, as shown below: bagels: six in a bag apples: eight in a bag cookies: twelve in a box juice boxes: nine in a box find the least number of packages she must purchase in order to have the same amount of each item. then, complete each statement. olivia's mom should purchase how many bags of bagels?

To have the same amount of every snack, just keep putting the multiple of all the number until they all share at least one together

Bagels: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Apples: 8, 16, 24, 32, 40, 48, 56, 64, 72

Cookies: 12, 24, 36, 48, 60, 72

Juice Boxes: 9, 18, 27, 36, 45, 54, 63, 72

They all share 72

Since the bagels come in boxes of six, divide the 72 bagels by 6

You get 12 boxes

So Olivias' mom will buy 12 boxes of bagels

Hope this helps

-GoldenWolfX✔

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

50

step-by-step explanation: