Math

Question A contestant on a quiz show loses $12.50\$12.50 per wrong answer. If they answered 0 right and 6 wrong, what is their prize money balance?

Studdy Solution

STEP 1

Assumptions1. The contestant loses \$12.50 for each wrong answer. The contestant has answered6 questions wrong3. The contestant has not answered any questions correctly, so there are no gains to offset the losses

STEP 2

Next, we need to calculate the total amount of money the contestant has lost. This can be done by multiplying the amount lost per wrong answer by the number of wrong answers.
Loss=AmountlostperwronganswertimesNumberofwronganswersLoss = Amount\, lost\, per\, wrong\, answer \\times Number\, of\, wrong\, answers

STEP 3

Now, plug in the given values for the amount lost per wrong answer and the number of wrong answers to calculate the total loss.
Loss=$12.50times6Loss = \$12.50 \\times6

STEP 4

Calculate the total loss.
Loss=$12.50times6=$75.00Loss = \$12.50 \\times6 = \$75.00The contestant's balance of prize money is the negative of the total loss, as he has not gained any money but only lost.

STEP 5

Calculate the balance of prize money.
Balanceofprizemoney=LossBalance\, of\, prize\, money = -Loss

STEP 6

Plug in the value for the loss to calculate the balance of prize money.
Balanceofprizemoney=$75.00Balance\, of\, prize\, money = -\$75.00The contestant's balance of prize money is -$75.00.

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