Mathematics, 20.07.2019 12:00 datbih12345

Awaitress sold 17 ribeye steak dinners and 16 grilled salmon dinners, totaling $571.16 on a particular day. another day she sold 21 ribeye steak dinners and 8 grilled salmon dinners, totaling $583.22. how much did each type of dinner cost?

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Let x = ribeye steak cost, y = grilled salmon cost. With this we set up two equations:

17x + 16y = 571.16
21x + 8y = 583.22

We must now pick which dinner we could like to find the cost of first. I choose the ribeyes. To do so, I'm going to divide the first equation by - 2. I will explain why:

- 8.5x - 8y = - 285.58
21x + 8y = 571.16

Now we combine like terms. Notice that the y-variables cancel each other out. This why I divided by - 2. It causes this cancellation leaving us with only one variable to solve. This gives us:

12.5x = 297.64

Divide both sides by 12.5 to isolate variable x.

x = 23.8112 or x ≈ 23.81. I round two decimal points since we're dealing with money.

Now, we plug this cost into either of the two equations and solve for variable y. I'll use the first one.

17(23.81) + 16y = 571.16
404.77 + 16y = 571.16

Subtract 404.77 from both sides to isolate the variable and its coefficient.

16y = 166.37

Divide by 16 on both sides to get rid of the coefficient

y ≈ 10.3993 or y ≈ 10.40 since we're dealing with money.

Cost of ribeye steak -- $23.81
Cost of grilled salmon -- $10.40

Answer from: Quest

may i see the picture? it would a lot, xox

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.