At a business meeting Panera Bread , the bill for two cappuccinos and three caffe lattes was $19.75 . At another table , the bill for one cappuccino and two caffe lattes was $11.97 . How much did each type of beverage cost? Please need help guys!!

The cappuccinos cost $3.59 each and the caffe lattes cost $4.19 each

Step-by-step explanation:

Let's call:

x= price of each cappuccino

y= price of each caffe latte

According to the statement, two cappuccinos and three caffe lattes cost $19.75, thus:

Also, one cappuccino and two caffe lattes cost $11.97, thus:

The equations [1] and [2] form a system of equations. We'll solve it by elimination.

Multiply [2] by -2:

Add [1] and [3]:

Simplifying:

Solving:

From [2] we have:

x=3.59

The cappuccinos cost $3.59 each and the caffe lattes cost $4.19 each

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

1,8,15,22,29,36,43,50

step-by-step explanation: