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A vegetable stand sells ppp pumpkins for \$5.00$5.00dollar sign, 5, point, 00 each and sss squashes for \$3.00$3.00dollar sign, 3, point, 00 each. On Monday, the stand sold 666 more squashes than pumpkins and made a total of \$98.00$98.00dollar sign, 98, point, 00. Which system of equations can be used to determine the number of pumpkins and squashes sold?

Answer :

Edufirst

Answer:

      [tex]\large\boxed{\begin{cases} 5p+3s=98\\\\s=p+6 \end{cases}}[/tex]

Explanation:

Rewrite the question for better understanding:

A vegetable stand sells p pumpkins for $5.00 each and s squashes for $3.00. On Monday, the stand sold 6 more squashes than pumpkins and made a total of $98.00. Which system of equations can be used to determine the number of pumpkins and squashes sold?

Solution

1. Cost of p pumpkins at $5.00: 5p

2. Cost of s squashes at $3.00

3. Cost of p pumpkins and s squashes: 5p + 3s

5. Total value of $98:

  • First equation: 5p + 3s = 98

6. 6 more squashes than pumpkins

  • Second equation: s = p + 6

7. System of equations:

       [tex]\begin{cases} 5p+3s=98\\\\s=p+6 \end{cases}[/tex]

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