26. Cheryl paid $35.20 for a strawberry shortcake and 1 doughnut .Ria paid $50.80 for a strawberry shortcake and 10 doughnuts. How much does a strawberry shortcake cost ?​

Respuesta :

Answer:

$24.8

Step-by-step explanation:

[tex]let\ strarvberry\ shortcate\ is\ x.[/tex]

[tex]doughnuts:y.[/tex]

[tex]\left \{ {{x+4y=35.2} \atop {x+10y=5018}} \right.[/tex]

[tex]\fbox{$2$}-0:6y=15:6[/tex]

[tex]y=2.6[/tex]               [tex]\left\{equation\right\}[/tex]

∴[tex]x=35.2-4\times2.6[/tex]

[tex]=24.8.[/tex]

∴[tex]A\ strawberry\ shortcake\ cost[/tex] $[tex]24.8[/tex]

I hope this helps you

:)

-The correct answer should be 33.47

Basically what I did was subtract the 35.20$ with the 50.80 knowing that the result would give me the prices of 9 doughnuts and I got 15.60 them knowing that that 15.60$ is the price for 9 doughnuts I divided by 9 and I got 1.73$ them I subtract that 1.73$ with 35.20$ that is the price of the strawberry cake and one doughnut and got the final answer would should be 33.47$ if I’m not wrong.

Hope this help you!
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