Question

Problem: At the bakery each scone cost $0.95 and each muffin costs $0.80. If Alex needs to buy 30 pastries for his class(a combination of both), how many of each will he buy if he has $30.00 to spend?

Answer 1

Hi there. Are you interested in learing the material or just looking for an answer to copy?

Answer 2

learning I have a college math final tuesday

Answer 3

0.95s + 0.8m = 30

we know he'll buy more than thirty since they cost less than 1 dollar each
he will save 5 cents per scone and 20 cents per muffin

Answer 4

OK, this is a system of linear equations. Do you know how to solve a system of linear equations?

Answer 5

yes

Answer 6

Great; so, we just have to set up the system. Number of scones is s. Number of muffins is m. So we know first:

Total pastries = 30, so
s + m = 30

Total cost is $30, so

0.95 * s + 0.80 * m = $30

Now just simultaneously solve those two.

Answer 7

solve with substitution?

Answer 8

You can solve any way you want; they'll all give you the same answer. But, yeah, substitution is probably easiest for this particular problem.

Answer 9

e.g. isolate s in equation one, then substitute that in where s appears in Eq. 2. You'll end up with an equation that has only one variable, m.

Answer 10

I got m = 40 but it's not making sense to me

Answer 11

so basically, after buying 15 muffins he will have gained 3 dollars b/c they were only 80 cents and he will have saved 75 cents from the 15 scones

w/ 3.75 he can buy 4 muffins w/ a few pennies left over or 3 scones w/ a few pennies

Answer 12

Haha, I just worked the problem and I got the same. It's broken. Are you sure the total cost is supposed to be $30?

Answer 13

total he can buy max abt 34 if he wants to get a fairly equal amount of pastries

Answer 14

make sure you gave us all the right numbers in the problem.

Answer 15

I did it's on a practice final from my professor and it just confused me

Answer 16

Since scones and muffins both cost less than one dollar, there's no combination of 30 muffins and scones that costs $30. It'll always cost less.

Answer 17

look at what I did, I basically solved both as if they were a dollar and then found what I would have saved if they cost the correct amount

Answer 18

I will bob06

Answer 19

the second half of the question is as follows:
use the previous part to model the problem using an inequality. List the possible number of scones that Alex could have purchased according to your model.....ugh!

Answer 20

the problem is broken unless we use a larger number of pastries or a smaller number of dollars to spend

Answer 21

could you guide me on how to do the second half of the question