Question

tlaloc pumped up 56 balls. he pumped up 5 dodge balls for every 9 other balls.
complete the table.
\toriginal ratio\tnumber tlaloc pumped up
dodge balls\t5\t□
other balls\t9\t□
total balls\t□\t56

Explanation:

Step1: Find total ratio parts

The ratio of dodge balls to other balls is \(5:9\), so total parts in ratio is \(5 + 9=14\).

Step2: Find multiplier

Total balls pumped up is 56. To find how many balls each part represents, divide total balls by total ratio parts: \(\frac{56}{14} = 4\).

Step3: Calculate dodge balls

For dodge balls, ratio part is 5. Multiply by multiplier: \(5\times4 = 20\).

Step4: Calculate other balls

For other balls, ratio part is 9. Multiply by multiplier: \(9\times4 = 36\).

Step5: Confirm total ratio

Original total ratio is \(5 + 9 = 14\), which matches the ratio calculation (since \(20+36 = 56\) and \(56\div4 = 14\)).

Answer:

Dodge balls: \(20\)
Other balls: \(36\)
Total ratio: \(14\)