Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2020-12-04T01:30:15+01:00

Answer:

[tex]Tatiana = \$8.35[/tex]

Step-by-step explanation:

Given

[tex]Total = \$31.50[/tex]

[tex]Felicia = \$4.25[/tex]

[tex]Ingrid = 2 * Felicia[/tex]

[tex]Meiko = \$1.90 + Ingrid[/tex]

Required

Determine amount spent by Ingrid

We have that:

[tex]Ingrid = 2 * Felicia[/tex]

Substitute $4.25 for Felicia

[tex]Ingrid = 2 * \$4.25[/tex]

[tex]Ingrid = \$8.5[/tex]

We also have that:

[tex]Meiko = \$1.90 + Ingrid[/tex]

Substitute $8.5 for Ingrid

[tex]Meiko = \$1.90 + \$8.50[/tex]

[tex]Meiko = \$10.40[/tex]

The total can be represented as thus:

[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]

[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]

[tex]\$23.15+ Tatiana = \$31.50[/tex]

Collect Like Terms

[tex]Tatiana = \$31.50 - \$23.15[/tex]

[tex]Tatiana = \$8.35[/tex]