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yanalaym [24]
3 years ago
15

At a bargain store, Jen bought 4 items that each cost the same amount. Carol bought 5 items that each cost the same amount, but

each was $1.75 less than the items that Jen bought. Both Jen and Carol 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 Jen'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:
Lelu [443]3 years ago
5 0
Jen bought: 4x
Carol bought 5y

4x=5y

Y=x-$1.75


1.75 x 5=8.75

5y=5x-$8.75

4x = 5x - $8.75
X=$8.75

One of Jens items = $8.75




The
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4 years ago
Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and
Nadya [2.5K]

Answer:

21

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

<em>Translating the word problem into an algebraic equation;</em>

<em>For the total number of bills;</em>

x + y = 47 .........equation 1

<em>For the total number of tips;</em>

x + 5y = 131 ..........equation 2

<em>*Solving the linear equation by using the substitution method*</em>

<em>Making x the subject in equation 1:</em>

x = 47 - y .......equation 3

<em>Substituting "x" into equation 2;</em>

(47 - y) + 5y = 131

<em>Simplifying the equation, we have;</em>

47 + 4y = 131

4y = 131 - 47

4y = 84

y = \frac {84}{4}

y = 21 (For the $5 bills).

<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>

To find x;

Substituting "y" into equation 3;

x = 47 - 21

x = 26 (For the $1 bill).

6 0
3 years ago
Evaluate 0.035×1.02/0.00015 leaving your answer in standard form
denis-greek [22]
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Pls help me i need help
Phoenix [80]

Answer:

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Step-by-step explanation:

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3 years ago
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zzz [600]

Answer:

All of the above

Step-by-step explanation:

6 0
3 years ago
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