**Answer:**

The amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

The total deposit is $175

**Step-by-step explanation:**

Since Total deposit (T) = currency (C) + coins + check (Ck) - cash received (Csh)

T = C + Ck - Csh. (1)

Given that cash received (Csh) = $75,coins = 0 and the checks deposited totaled $50 less than twice the currency amount. So,

Ck = 2C - $50 (2)

Also, total deposit was $25 more than the check amount. So,

T = Ck + $25 (3)

Substituting equation (2) into (1), we have

T = C + Ck - Csh

T = C + 2C - $50 - Csh

T = 3C - $50 - $75

T = 3C - $125 (4)

Substituting equation (2) into (3), we have

T = Ck + $25

T = 2C - $50 + $25

T = 2C - $25 (5)

Equating equations (4) and (5), we have

3C - $125 = 2C - $25

Collecting like terms, we have

3C - 2C = $125 - $25

C = $100

Substituting C into (2), we have

Ck = 2C - $50

Ck = 2($100) - $50

Ck = $200 - $50

Ck = $150

We now compute T

T = C + Ck - Csh.

T = $100 + $150 - $75.

T = $250 - $75

T = $175

So, the amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

The total deposit is $175