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Which is the most reasonable prediction for the total cost of a purchase with 3 items?

$20

$6

$34
$1
CLEAR ALL
NUMBER OF ITEMS

77. Which is the most reasonable prediction for the total cost of a purchase with 33 items?\newline$20 \$ 20 \newline$6 \$ 6 \newline$34 \$ 34 \newline\$\(1\)\(\newline\)CLEAR ALL\(\newline\)NUMBER OF ITEMS

Full solution

Q. 77. Which is the most reasonable prediction for the total cost of a purchase with 33 items?\newline$20 \$ 20 \newline$6 \$ 6 \newline$34 \$ 34 \newline\$\(1\)\(\newline\)CLEAR ALL\(\newline\)NUMBER OF ITEMS
  1. Identify Total Items: We got 33 items, right? So we just gotta figure out which price makes sense for 33 of 'em.
  2. Calculate Total for $1\$1: If each item was $1\$1, then 33 items would be 33 times that, so $3\$3. But that's not an option here.
  3. Calculate Total for $6\$6: Now, if each item was $6\$6, then 33 items would be 33 times $6\$6, which is $18\$18. But that ain't an option either.
  4. Calculate Total for $20\$20: Okay, so what if each item was $20\$20? Then 33 items would be 33 times $20\$20, which is $60\$60. That's way too high, not on the list.
  5. Calculate Total for $34\$34: Last one, if each item was $34\$34, then 33 items would be 33 times $34\$34, which is $102\$102. That's definitely not it.
  6. Combine Prices: So none of the single prices work if we just multiply by 33. We gotta mix 'em up. Let's try combining the prices to see if we can hit a total that's on the list.
  7. Try $6\$6 and $20\$20: If we take two items at $6\$6 and one item at $20\$20, that adds up to $6+$6+$20\$6 + \$6 + \$20, which is $32\$32. That's close to one of the options, but not quite.
  8. Try $6\$6 and $34\$34: What if it's one item at $6\$6 and two items at $20\$20? That's $6+$20+$20\$6 + \$20 + \$20, which is $46\$46. Nope, that's not it either.
  9. Reevaluate Calculation: Let's try one item at $6\$6 and two items at $34\$34. That's $6+$34+$34\$6 + \$34 + \$34, which is $74\$74. That's way off.
  10. Reevaluate Calculation: Let's try one item at $6\$6 and two items at $34\$34. That's $6+$34+$34\$6 + \$34 + \$34, which is $74\$74. That's way off.Wait a sec, I made a mistake. Let's go back and check the math again.

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