Two glasses of milk and 3 snack bars have a total of 68 carbs, and 4 glasses of milk and 2 snack bars have a total of 80 carbs. determine how many carbs are in one glass of milk and in one snack bar.

Amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14

Let "m" be the amount of carbs in one glass of milk

Let "s" be the amount of carbs in one snack bar

Given that two glasses of milk and 3 snack bars have a total of 68 carbs

carbs in one glass of milk x two glasses of milk + carbs in one snack bar x 3 snack bars = 68 carbs

2m + 3s = 68  eqn 1

Similarly,

Also given that 4 glasses of milk and 2 snack bars have a total of 80 carbs

4m + 2s = 80 eqn 2

Let us solve these two equations and find values of "m" and "s"

Multiply eqn 1 by 2

4m + 6s = 136 --- eqn 3

Subtract eqn 2 from eqn 3

4m + 6s = 136

4m + 2s = 80

(-)

4s = 56

s = 14

Substitute s = 14 in eqn 1

2m + 3s = 68

2m + 3(14) = 68

2m = 26

m = 13

Thus the amount of carbs in one glass of milk is 13 and amount of carbs in one snack bar is 14

answer: 177/8

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.