3 years ago

Please tell me if my answer is correct. Simple Interest

Mathematics

1 answer:

Murljashka [212]3 years ago

7 0

I’m pretty sure It’s right

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9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

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3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

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Step-by-step explanation:

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