Cora had 20 dollars to spend on 3 gifts she spent 11 1/4 dollars on the gift A and 3 4/5 dollars on gift B How much money did she have left for gift C

Cora had 20 dollars to spend on 3 gifts she spent 11 14 dollars on the gift A and 3 45 dollars on gift B How much money did she have left for gift C class=

Respuesta :

Answer:

Amount left for gift C = [tex]4\frac{19}{20}[/tex] dollars

Step-by-step explanation:

Given that:

Amount Cora have to spent on gifts = $20

Amount spent on gift A = [tex]11\frac{1}{4}=\frac{45}{4}[/tex] dollars

Amount spent on gift B = [tex]3\frac{4}{5}=\frac{19}{5}[/tex] dollars

Amount spent on gift C = x

Total amount = Gift A + Gift B + Gift C

20 = [tex]\frac{45}{4}+\frac{19}{5}+x[/tex]

20 = [tex]\frac{225+76+20x}{20}[/tex]

[tex]400=301+20x\\400-301=20x\\99=20x\\20x=99\\[/tex]

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{99}{20}\\\\x=4\frac{19}{20}[/tex]

Hence,

Amount left for gift C = [tex]4\frac{19}{20}[/tex] dollars