Stacy sells homemade pizzas, sizes large and small. a small pizza has 10 olive pieces and 18 mushroom pieces. a large pizza has 15 olive pieces and 45 mushroom pieces. she has enough olives and mushrooms for 60 olive pieces and 135 mushrooms pieces. let x represent the number of small pizzas and y represent the number of large pizzas. write all of the constraints for this situation, and explain each.

let x be represent the number of the small pizza.

y be represent the number of the big pizza.

as given in the question stacy  has total number  of olives are 60 and mushrooms are 135.

Equations are

10x +15y = 60

18x+45y=135

x≥0, y≥0

I have shown these above mentioned equation in the below diagram.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!