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Ksivusya [100]
3 years ago
13

Four items are on sale at a local store. A shirt was originally $9.50 and now is $7.60. A pair of jeans were $25.00, and now the

y are priced $20.00. A pair of boots were $55.00, and they are on sale for $44.00. Do these regular and sale prices represent a proportional relationship
Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer : Yes, regular and sale prices represent a proportional relationship.

Step-by-step explanation :

We have to determine the ratio of regular and sale prices of shirt, jeans and boots .

A shirt was originally $9.50 and now is $7.60.

\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 9.50}{\$ 7.60}

\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}

A pair of jeans were $25.00, and now they are priced $20.00.

\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 25.00}{\$ 20.00}

\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}

A pair of boots were $55.00, and they are on sale for $44.00.

\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 55.00}{\$ 44.00}

\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}

From this we conclude that, all the items are in same ratio that means the regular and sale prices represent a proportional relationship.

Hence, yes, regular and sale prices represent a proportional relationship.

Llana [10]3 years ago
3 0

Answer:YES

Step-by-step explanation:

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8 0
2 years ago
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


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