Claire keeps some green and red plates in the cabinet. The ratio of green to red plates is 2:1. She adds 18 more red plates the ratio becomes 4:5. How many green plates are there in the cabinet? How many red?

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74