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katrin2010 [14]
3 years ago
12

You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35

and a jacket at 5/6 of its original price of $45 answer each question and show all your work.
a. How much money did you spend
b. how much money did you save
c. what fraction of the total original price did you save

Mathematics
2 answers:
ozzi3 years ago
6 0

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. \frac{102.50}{140}

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

  • Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

  • Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

  • A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

\frac{102.50}{140}



vladimir2022 [97]3 years ago
4 0

Answer: Total money spent= $102

Money saved=$38

Fraction saved= 19/70

Step-by-step explanation:

We first obtain the actual cost of each clothing item as a percentage of the original prices given then obtain the total money spent. Secondly, we obtain the money saved by subtracting the money spent from the original cost. Lastly, we obtain the fraction saved as shown in the image attached.

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Whitepunk [10]

Answer:

x=\frac{5}{4}

Step-by-step explanation:

2x+\frac{5}{8}=3x-\frac{5}{8}

Subtract 5/8 from both sides:-

2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}

2x+\frac{5}{8}-\frac{5}{8}

Add like terms:-

  • \frac{5}{8}-\frac{5}{8}=0
  • =2x

3x-\frac{5}{8}-\frac{5}{8}

Rule:- \frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}

  • \frac{-5-5}{8}

Subtract, -5-5=-10

  • =\frac{-10}{8}

Cancel common factor: 2

  • =-\frac{5}{4}
  • =3x-\frac{5}{4}

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

2x=3x-\frac{5}{4}

Now, subtract 3x from both sides:-

2x-3x=3x-\frac{5}{4}-3x

-x=-\frac{5}{4}

Divide both sides by -1:-

\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}

x=\frac{5}{4}

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Step-by-step explanation:

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