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horsena [70]
3 years ago
9

A roadside vegetable stand sells pumpkins for $5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an

d their sales totaled $98. Write and solve a system of equations to find how many pumpkins and squash they sold
Mathematics
1 answer:
monitta3 years ago
3 0
x-\ pumpkins\\
y-\ squashes\\\\
y=x+6\\
3y+5x=98\\\\3(x+6)+5x=98\\
3x+18+5x=98\\
8x+18=98\ \  | subtract\ 18\\
8x=80\ \ | divide\ by\ 8\\
x=10\\
y=10+6=16\\\\
They\ sold \ 10\ pumpkins\ and\ 16\ squashes.
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To find:

The probability of drawing 2 even numbers.

Solution:

We have,

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So, the probability of getting an even card in first draw is:

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P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

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So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

The probability of drawing 2 even numbers is:

P=P_1\times P_2

P=\dfrac{1}{3}\times \dfrac{1}{5}

P=\dfrac{1}{15}

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