Question

25. Tasty Bakery sells three kinds of muffins: chocolate chip muffins for $0.50 each, oatmeal muffins for $0.65 each, and blueberry muffins for $0.75 cents each. Charles buys some of each kind and chooses three more chocolate chip muffins than blueberry muffins. If he spends $8.45 on 14 muffins, how many of each type of muffin does he buy? Write and solve a system of three equations in three variables. Show your work. (4 points)

Answer 1

0.5x + 0.65y + 0.75z = 8.45
x + y + z = 14
x = z + 3

Answer 2

do you know what to do?

Answer 3

@torimoore18 :l

Answer 4

i understnad the equation but I don't know how to solve it it. Does that make sense?/

Answer 5

substitute for x in the first two equations

Answer 6

so guess what x is?

Answer 7

no, x = z + 3

Answer 8

i'm still confused..

Answer 9

i'll do the first equation for ye

Answer 10

thanks you

Answer 11

0.5x + 0.65y + 0.75z = 8.45
0.5(z + 3) + 0.65y + 0.75z = 8.45
0.5z + 1.5 + 0.65y + 0.75z = 8.45
1.25z + 0.65y + 1.5 = 8.45
1.25z + 0.65y = 6.95

Answer 12

now do that to the second equation

Answer 13

ok thank you so much!!!!!

Answer 14

we're not done yet though. that's just the first step

Answer 15

do you know what to do from here?

Answer 16

um actually no! sorry but i'm terrible at math!

Answer 17

can you do the second equation?

Answer 18

whats the answer for x?

Answer 19

Is it 695

Answer 20

three variable equations have a long process to solving :/ you have to substitute "z + 3" for x in the second equation (in my first post). once you do that, you have a two variable systems of equations and it's easier. but you have to do em in order

Answer 21

so it would be(z+3) +y+z

Answer 22

yea, z + 3 + y + z = 14, which is simplified to 2x + y = 11

so here's your new system of equations:

2x + y = 11
1.25z + 0.65y = 6.95

Answer 23

ok now what

Answer 24

solve for y in the first equation

Answer 25

ok i'm lost! foreal.

Answer 26

omg.

Answer 27

i know i'm sorry