Jake and Abigail worked a job together. Jake earned 3/4 of what Abigail did. Together they earned $140. How much did each earn?

Abigail: x

Jake: 3/4x

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Make their expressions add up to 140 in an equation.

(x) + (3/4x) = 140

Combine like terms.

1 3/4x = 140

Divide both sides by 1 3/4.

x = 80

Plug 80 for x into Jake and Abigail's expressions.

Jake: 3/4 (80) = 60

Abigail: (80) = 80

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Jake earned $60 and Abigail earned $80.

Let's represent Jake with the variable 'j' and Abigail with the variable 'a':

j = 3a/4

j + a = 140

j = - a + 140

3a/4 = - a + 140

3a = - 4a + 560

7a = 560

a = 80

Abigail earned $80 and Jake earned $60