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zavuch27 [327]
3 years ago
12

Ralph and Jody go to the store to buy chips and candy bars. Ralph buys 3 bags of potato chips and 4 candy bars for 375 cents. Jo

dy buys 6 bags of potato chips and 4 candy bars for 600 cents. Later, Maria meets up with Ralph and Jody. She wants to buy one bag of potato chips and one candy bar from them. Ralph and Jody need to figure out what the charge her for the items.
Write a system of equations that will help Ralph and Jody figure out the price of each item. Explain.
Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
3x+4y = 375
6x+ 4y= 600
-------------------
6x-3x  = 600 - 375

3x=225
x=225:3
x=75 cents

3*x+4y= 375
3*75+4y=375
225 +4y = 375
4y=375-225
4y=150
y=150:4
y=37,5 cents

the price is 75+37,5=112,5 cents for one bag of potato chips and one candy bar

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Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1
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Answer:

The price for 3.75 pounds of cherries is $17.775.

Step-by-step explanation:

The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

\text{this week} = \text{last week}*\frac{95}{100}\\\\\text{this week} = 4.99*0.95 = 4.74 \text{ per pound}\\

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

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6 0
3 years ago
10x + 1 = 2(3× + 5) - 1
MArishka [77]

Answer:

x = 2

Step-by-step explanation:

10x + 1 = 2(3x + 5) - 1

  1. mutlipy the 2 to the 3x and the 5
  2. you should get 10x + 1 = 6x + 10 - 1
  3. now you have to add the combine terms
  4. so it will now be 10x + 1 = 6x + 9
  5. now you.have to get the x's on one side and the constants (numbers alone) on the other side
  6. so you can subtract the 6x on both sides
  7. once you do that you wil get 4x + 1 = 9
  8. After you get this equation you will have to subtract the one from both sides.
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7 0
3 years ago
Read 2 more answers
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Nataliya [291]

Answer:

x =  \frac{17}{13}  = 1 \frac{4}{13}

Step-by-step explanation:

-5(2x - 5) = 8 + (5 - 2x)

-10x + 25 = 8 + 3x

-10x - 3x = 8 - 25

-13x = -17

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5 0
2 years ago
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