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Ronch [10]
3 years ago
15

PLEASE HELP The ratio of boots to sandals in a shoe store is 8:3. If there are 245 more boots that sandals in the store, how man

y boots are there?
Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
X - the number of boots
y - the number of sandals

The ratio of boots to sandals is 8:3.
\frac{x}{y}=\frac{8}{3} \\
8y=3x \\
y=\frac{3}{8}x

There are 245 more boots than sandals.
y+245=x \\
y=x-245 \\ \\
y=y \\
\frac{3}{8}x=x-245 \\
\frac{3}{8}x-x=-245 \\
\frac{3}{8}x-\frac{8}{8}x=-245 \\
-\frac{5}{8}x=-245 \\
x=-245 \times (-\frac{8}{5}) \\
x=49 \times 8 \\
x=392

There are 392 boots.
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