SOLUTION: Janet buys 'p' sweet and 'q' marbles. The sweets cost $5 each and the marbles cost $6 each. Janet has 90, she wants to share the sweets with her friends so she needs at least 5 swe

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Question 1201464: Janet buys 'p' sweet and 'q' marbles. The sweets cost $5 each and the marbles cost $6 each. Janet has 90, she wants to share the sweets with her friends so she needs at least 5 sweets. She needs more than 4 marbles to be able to join in the game.
(a) Write down the threes inequalities connecting 'p' and 'q'.
(b) Draw a graph to show their inequalities.
(c) What is the highest number of sweets she can buy?
(d) What is the highest number of marbles he can buy?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
Janet buys 'p' sweet and 'q' marbles. The sweets cost $5 each and the marbles cost $6 each. Janet has 90, she wants to share the sweets with her friends so she needs at least 5 sweets.
She wants to spend $90 (Not more)
The sweets cost $5
the marbles cost $6 each.
5p+6q =90 ------------------1
needs at least 5 sweets.
p>= 5-----------------------2

She needs more than 4 marbles
q>4------------------------3
The lines intersect each other and form a triangle.The vertices form the limit of p &q
any point in the triangle will give a solution. But $90 is the maximum
She can buy maximum 13 sweets and 5 marbles
She can buy maximum 10 marbles and 5 sweets
For graphing I have taken x sweets and y marbles it is a representative graph
.

Answer by ikleyn(52765) (Show Source):
You can put this solution on YOUR website!
.

Notice that the plot in the post by @mananth is incorrect.

A correct plot should show the domain y > 4 as the domain at or over the line y = 5.

(In his plot, y is 'q', an integer number of marbles).