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diamong [38]
3 years ago
12

I need help solving number 1. could anyone go over the steps?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0
Well if the girl sold the same number of larges but one less small and she made $5 less, then you know that the small boxes are $5. From there take the equation 2s + 7L =52 and subtract 10 from 52 (the two small boxes equal 10) You're left over with 7L= 42 so then do 42/7 = $6 per big box
nexus9112 [7]3 years ago
6 0
So First of you'd make equations using what we know 3s+7L=57 2s+7L=52
so because these equations have only a difference of one small box this tells us that one small box is $5 so then using the second equation we can find the value of the large boxes 2(5)+7L=52   7L=42. 42/7=6 one large box is $6.
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nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

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Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

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77julia77 [94]

Votes received by Wayne is 112

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

Therefore votes received by Wayne is 112

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