A few days ago
Anonymous

# Can you solve this and tell me how you did it?

An instrument store gives a 10% discount to all students. During back to school week, they give an extra 15% off to all students. If a student went to this store, and paid \$306 for a flute, what was the original cost?

A few days ago
YB

(orig. price*.90).85=\$306

.765*orig. price=\$306

orig. price=306/.765

Orig. Price = \$400

I would think that the store would take the 10% discount off first since it’s the usual discount so that would be .90 of the original price. Once you get the new amount then the addt’l 15% will be deducted hence .85 of the new price. So, use the equation and solve for the original price. Hopes this helps!

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A few days ago
This is how I figured it.

A/306=25/100

cross multiply

A100=7650

divide by 100

A=76.5

add this to the discounted amount to get the original cost of the instrument.

306 + 76.5= 382.50

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A few days ago
Angie
The original cost was \$408, to check \$408 x 75% (100% – 25% total discount).
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