Mathematics, 30.06.2019 22:30 Ellafrederick

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. with the amount of items olivia's mom is purchasing, she'll be able to make enough lunches to feed all four siblings for how many days?

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Answer from: mdoswalt

Wow OK so the first number I came to was 72 so that's
bagels 6x12=72
apples 8x9=72
cookies 12x6=72
juice boxes 9x8=72

72/4=18 so she could make their lunch for 18 days

Answer from: milly1903

Olivia's mom can feed the siblings for 18 days.

Step-by-step explanation:

We will find the LCM of 6,8,12 and 9.

6 = 2 x 3

8 = 2 x 2 x 2

12 = 2 x 2 x 3

9 = 3 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

Now there are 6 bagels in a bag, so Olivia's mom will need = 72/6=12 bags

Similarly she will need = 72/8=9 bags of apples.

Cookies boxes needed = 72/12=6

Juice boxes needed = 72/9=8

She will be purchasing 72 packages in all to feed 4 kids.

Hence, the food will last for 72/4=18 days.

Olivia's mom can feed the siblings for 18 days.

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Answer from: Quest

Idon’t know i’m in the same boat

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