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kykrilka [37]
3 years ago
9

Lily buys a sweater that is on sale for $42, which is 75% of the original price of the sweater. What was the original price of t

he sweater?
Mathematics
2 answers:
larisa [96]3 years ago
7 0
42 dollars is 75% so 25% is 14 and 100% is 56
allochka39001 [22]3 years ago
3 0
We have an equation: 42/? = 75/100

Cross multiply:
75*? = 42*100
⇒ ? = 42*100/75= 56

The original price of the sweater was $56.

Hope this helps~
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Answer: tea = 15 rupees  per kg

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Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

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  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

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2 t =30

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Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

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