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,

Question

3 years ago

5

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?

SAT

1 answer:

leva [86] · Answer 1 · 2022-06-10T13:41:09+03:00

Answer:

$\large\boxed{\begin{cases} 5p+3s=98\\\\s=p+6 \end{cases}}$

Explanation:

Rewrite the question for better understanding:

<em>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?</em>

<em />

<h2><em>Solution</em></h2><h2><em /></h2>

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:

$\begin{cases} 5p+3s=98\\\\s=p+6 \end{cases}$