Question

CUCULIOLO
Kaylee is in first grade, and her class is creating pasta necklaces!
There are two types of pasta to use on the necklaces: long macaroni
pieces, and small rotelle pieces which look like wheels with spokes.
The directions are to have no more than 25 pieces of pasta on a
necklace, and each string is long enough to hold 15 macaroni
noodles or 50 pieces of rotelle.
Select all of the true statements below.
Kaylee's necklace can hold 11 macaroni noodles and 15 pieces of rotelle,
Kaylee's necklace can have 25 pieces of rotelle,
Kaylee's necklace can have 10 macaroni noodles and 15 pieces of rotelle,
Kaylee's necklace can hold 14 macaroni noodles and 11 pieces of rotelle.
Kaylee's necklace can have 1 macaroni noodle.
Kaylee's necklace can hold 16 macaroni noodles and 9 pieces of rotelle.

Answer 1

Answer:

True Statements:

"Kaylee's necklace can have 25 pieces of rotelle"

"Kaylee's necklace can have 10 macaroni noodles and 15 pieces of rotelle"

"Kaylee's necklace can have 1 macaroni noodle"

Step-by-step explanation:

First condition:

max pieces is 25

Checking the choices, we eliminate anyone having more than 25 pieces.

choice 1 - 26 piece NO

choice 2 - 25 piece OK

choice 3 - 25 piece OK

choice 4 - 25 piece OK

choice 5 - 1 piece OK

choice 6 - 25 piece OK

So we eliminate first choice. Now, 2nd condition is 15 macaroni or 50 rotelle, so that's 50/15 = 3.33 rotelle = 1 macaroni

We check each choice and convert macaroni to rotelle and make sure they are under 50

choice 2 - 25 rotelle, so OK

choice 3 - 10*3.33 + 15 = 48.3, under 50, so OK

choice 4 - 14*3.33 + 11 = 57.62, NOT OK

choice 5 - 1*3.33 = 3.33 rotelle OK

choice 6 - 16*3.33 + 9 = 62.28 rotelle , NOT OK

So finally, the statements that are TRUE are:

Choice 2, Choice 3, Choice 5