Question

Henry and Layla are ordering flowers for a birthday party. Large arrangements are $75 and small arrangements are $50. They can afford to spend no more than $700, but would like to purchase more than 10 arrangements. Which is not a combination of large and small arrangements that Henry and Layla could purchase?

3 large and 8 small arrangements

4 large and 7 small arrangements

5 large and 6 small arrangements

7 large and 4 small arrangements

Answer 1

L for large, S for small. they want more than 10 total:
\[\large L + S >10\]

L's cost 75, S's cost $50. They can't spend more than $700:
\[\large 75L + 50S \le 700\]

Now just try each of


3 large and 8 small arrangements

4 large and 7 small arrangements

5 large and 6 small arrangements

7 large and 4 small arrangements

to see which ones will actually work in the two inequalities above.

Answer 2

Remember, large is L and small is S, so use the numbers given and find one pair of number that does NOT work in the inequalities.

Answer 3

Still a little confused :/

Answer 4

I got the first one?

Answer 5

Am I right?

Answer 6

3 + 8 > 10 this is true since 11 is greater than 10.

\[\large 75*3 + 50*8 \le 700\] is this true or false? if it's true, it's not your answer

Answer 7

its true :)

Answer 8

Move on to the next two numbers and check those then

Answer 9

ohhhh I have to find out which isn't true :/

Answer 10

Yep, check each one :)

Answer 11

Got it, after trying all of them, its the last one..?

Answer 12

7 large and 4 small add up to more than 11

\[\large 75*7 + 50*4 \le 700\]
75*3 + 50*8 = 725 which is NOT less than 700

Answer 13

yayy

Answer 14

:)