a. The amount of money that Anthony has is £26.1.
b. The amount of money that Michelle has is £39.15.
- Let Anthony's amount be A.
- Let Michelle's amount be M.
Given the following data:
To find the amount of money each of them have:
In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):
Translating the word problem into an algebraic expression, we have;
Anthony's amount is two thirds of Michelle's amount:
[tex]A = \frac{2M}{3}[/tex] ....equation 1
Anthony and Michelle have £65.25 between them:
[tex]A+M=65.25[/tex] ...equation 2
Substituting eqn 2 into eqn 1, we have:
[tex]\frac{2M}{3} +M=65.25\\\\2M +3M =195.75\\\\5M = 195.75\\\\M= \frac{195.75}{5}[/tex]
M = £39.15
To find the value of A:
[tex]A = \frac{2M}{3}\\\\A = \frac{2\times39.15}{3}\\\\A = \frac{78.3}{3}[/tex]
A = £26.1
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