Final answer:
To find out what the larger team should pay, divide the smaller team's payment of $107.45 by 7 to find the value of one part, then multiply by 9. The larger team should pay $138.15.
Step-by-step explanation:
The question involves calculating the amount the larger team needs to pay based on the ratio of their payment to the smaller team's payment. The ratio given is 9 to 7, which means for every 9 parts the larger team pays, the smaller team pays 7 parts. To find what the larger team should pay, we should first determine the value of one part by dividing the smaller team's payment by 7.
Let's call one part 'x'. If the smaller team pays $107.45 and their share is 7 parts, then:
7x = $107.45
Divide both sides by 7 to find 'x':
x = $107.45 / 7
x = $15.35
Now, to find the larger team's payment, we multiply 'x' by 9, since they pay 9 parts:
Larger Team Payment = 9x = 9 × $15.35
Larger Team Payment = $138.15
So, the larger team will pay $138.15.