Answer:
Grover has $24, Percy has $31 and Annabeth has $19.
Create equations to represent the situation.
let a be Annabeth
let g be Grover
let p be Percy
a + g = 43 Together, Annabeth and Grover have $43
g + p = 55 If Grover and Percy combine their money, they have $55
p = g + 7 Percy has $7 more than Grover
See if any of the equations can be combined. For example, we know p is g+7.
Substitute p for g+7 in an equation that has the variable p.
g + p = 55
g + g + 7 = 55 Combine like terms (g)
2g + 7 = 55 Start isolating g. Subtract 7 from both sides
2g = 55 - 7
2g = 48 Divide both sides by 2
g = 48/2
g = 24 Money Grover has
Use the equation p = g + 7. Find "p" by substituting g for 24.
p = g + 7
p = 24 + 7 Add
p = 31 Money Percy has
Substitute g for 24 in the last equation, a + g = 43, to find a.
a + g = 43
a + 24 = 43 Subtract 24 from both sides
a = 43 - 24
a = 19 Money Annabeth has
Therefore Grover has $24, Percy has $31 and Annabeth has $19.