Cecilia M. answered • 24d

Experienced Teacher Specializing in Mathematics for ages 3 - 50+

T = number of cards Tom has

M = number of cards Max has

T + M = 40 cards

T has 4 times as many cards as Max therefore T = 4M

Substitute 4M for T in the equation T + M = 40 cards

4M + M = 40

combine like terms or 4M + M which is the same as 4M + 1M which equals 5M

so

5M = 40

5 times the number of cards Max has equals 40

5M = 40 cards

Divide both sides by 5

5M / 5 = 40 cards / 5

5 / 5 = 1

1M = M

~~5~~M /~~ 5~~ = 40 cards / 5

40 /5 = 8

M = 8 cards

To find out how many Tom has substitute the 8 for M and solve.

T = 4 M

T = 4(8)

T = 32

Tom has 32 cards

Max has 8 cards