Caitlyn sells her drawings at the county fair. she wants to sell at least 80 drawings and has portraits and landscapes. she sells the portraits for $10 each and the landscapes for $12 each. she needs to sell at least $840 worth of drawings in order to earn a profit.

write a system of 2 inequalities to model this situation. use " = x " for the number of portraits and " y " for the number of landscapes.

x+y≥80

10x+12y=≥$840

Step-by-step explanation:

The total number of drawings must be the number of portraits added to the number of landscapes which must be equal to 80 or more

The total amount that must be made is the total of the number of each type of drawings multiplied by their amount each which must be $840 or more

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

not sure but it may be b, as i said i'm not sure.