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Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent

Respuesta :

MrRoyal

Answer:

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

Step-by-step explanation:

Represent Eric with E and Shiloh with S;

[tex]E:S = 4:3[/tex]

[tex]Total = \$40[/tex]

Required

Determine the how much money each have

We have to convert the ratio to fraction;

For Eric, we have

[tex]Eric= \frac{E}{E + S} * Total[/tex]

[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]

[tex]Eric= \frac{4}{7} * \$40[/tex]

[tex]Eric= \frac{\$160}{7}[/tex]

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = Total - Eric[/tex]

[tex]Shiloh = \$40 - \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]