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Naddika [18.5K]
3 years ago
10

Answer and will mark brainliest

Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0
As far as steps i’ll tell you in the comments

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Elijah brought a total of 16 pounds of peanuts and cashew nuts and paid $49.50 if peanuts cost $2.75 per pound and cashews nuts
maria [59]

Answer:

The number of pounds of cashew is 11

Step-by-step explanation:

Let P represent the peanut

Let C represent the cashew nut.

From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:

P + C = 16 (1)

The total cost = $49.50

Cost per peanut = $2.75

Cost per cashew = $3.25

The above can be represented as:

49.50 = 2.75P + 3.25C. (2)

From equation 1,

P + C = 16

P = 16 — C

Substitute the value of P into equation 2:

49.50 = 2.75P + 3.25C.

49.50 = 2.75(16 — C) + 3.25C

49.50 = 44 — 2.75C + 3.25C

49.50 = 44 + 0.5C

Collect like terms

49.50 — 44 = 0.5C

5.5 = 0.5C

Divide both side by 0.5

C = 5.5/0.5

C = 11

Therefore, the number of pounds of cashew is 11

8 0
3 years ago
How do you complete this One-Step equation?<br>5 1/2 + p = 6
dalvyx [7]

5 1/2 + p = 6

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5 1/2  - 5 1/2+ p = 6 - 5 1/2

p = 6 - 5 1/2

borrow from the 6

p = 5 2/2 - 5 1/2

p = 1/2

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