At the coffee shop, two coffees and one latte cost $10.50. three coffees and two lattes cost $17.00. what is the cost of one coffee?
a. $4.00
b. $6.50
c. $5.25
me !

To solve this problem, we can set two equations.

Let x be the cost of coffee and y be the cost of latte.

Two coffees and one latte: 2x + y = 10.50

y=10.50 - 2x ...(1)

Three coffees and two lattes: 3x + 2y = 17.00...(2)

Put (1) into (2), we have:

3x + 2(10.50-2x) = 17.00

3x + 2(10.50) - 2(2x) = 17.00

3x + 21 - 4x = 17

Put the unknown to one side:

3x -4x = 17 - 21

-x = -4

When there are negative numbers on both sides, we can take the negative signs away:

x= 4

Therefore, cost of one coffee is A. $4.00.

Hope ot helps!

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew