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