Question

Elle likes to draw while preparing for a math tournament she spends 90 minutes every day on drawing and math to help her concentrate better she draws 30 minutes more than she works on math

PART A. write a system of equations to show the relationship between the number of minutes Elle practices math every day (x) and the number of minutes she drawing every day (y)

PART B. how much does Elle spend on practicing math

PART C. is it possible for elle to have spent 70 minutes practicing drawing every day? explain your answer than she works on math​

Answer 1

M< 5 = 80 , < 2 = 80, < 6= 100, < 3= 100, < 7= 80, < 4= 80, < 8= 100

Answer 2

See below

Explanation:

Part A

• x + y = 90
• y - x = 30

Part B

Substitute y in the first equation by y = x + 30 and solve for x:

• x + x + 30 = 90
• 2x = 60
• x = 30 minutes on math

Part C

Let y = 70, then

• 30 + 70 = 100 > 90

Elle spends 90 minutes total and 30 minutes on math. If she spends 70 minutes on drawing then total time will exceed her daily limit. She then needs to cut math time by 10 minutes or increase total time by 10 minutes.