Question

PLEEEEEASE help and explain! :(
Vladimir is making tapioca pudding. He started 2 3/4 with fluid ounces of milk. As he cooked, he used a tablespoon of milk, which is 1/2 of a fluid ounce, x times. When he finished, he had at least 1 1/4 fluid ounces of milk left. Which phrase best describes the number of times Vladimir used a tablespoon of milk?

Answer 1

please post the full problem

Answer 2

thank you

Answer 3

sorry lol

Answer 4

something seems missing in this sentence ` When he finished, he had at least fluid ounces of milk left`

Answer 5

I'm guessing a number or algebraic expression is in there (or supposed to be)?

Answer 6

fixed it

Answer 7

oh ok, 1 and a 1/4, thanks

Answer 8

when they state `Which phrase best describes the number of times Vladimir used a tablespoon of milk?` I'm assuming that means you're given a list of choices?

Answer 9

the options are :

at least 3 times

at most 3 times

at most 8 times

at least 1 1/2 times

Answer 10

ok let me think

Answer 11

do you agree that 2&3/4 is equivalent to 2.75 in decimal form?

Answer 12

yes

Answer 13

1/2 = 0.5 and 1&1/4 = 1.25

Answer 14

yes

Answer 15

so we start off with 2.75 fl oz of milk

we subtract off 0.5 fl oz per tablespoon, there are x of these tablespoons, so 0.5x is subtracted off

Answer 16

2.75 - 0.5x is the amount left over after using x tablespoons

Answer 17

we want this to be at least 1.25 fl oz, so that means we have this inequality

\[\Large 2.75 - 0.5x \ge 1.25\]

do you see how to isolate x?

Answer 18

\[x \le 3\]

Answer 19

is that correct?

Answer 20

very good, so that means x is at most 3

therefore, he must use at most 3 tablespoons (3 is the upper limit)

Answer 21

okay thank you so much!

Answer 22

you're welcome