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melisa1 [442]
3 years ago
9

I NEED HELP ASAP 85 POINTS At a bargain store, Tanya bought 5 items that each cost the same amount. Tony bought 3 items that eac

h cost the same amount, but each was $2.5 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(A)Write an equation. Let x represent the cost of one of Tanya's items.
(B)Solve the equation. Show your work.
(C)Check your solution. Show your work.
(D)State the solution in complete sentences.
Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

Step-by-step explanation:

A) 5x = 3(x - 2.5)

-----------------------

B)

Distribute

5x = 3x - 7.5

Subtract 3x from both sides

2x = -7.5

Divde both sides by 2

x = -3.75

-----------------------

C)

5 * (-3.75) = 3(-3.75 - 2.5)

-18.75 = -18.75

D)

Tanya paid –$3.75 for each of 5 items

Tony paid –$6.25 for each of 3 items

There seems to be an error in the question since the cost of items is negative

Tony bought fewer items and paid less for each.

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chubhunter [2.5K]

Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and  7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.  

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

3 0
3 years ago
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