Question

kai’s balance
emma’s balance
kai’s balance: $14x + 65$
emma’s balance: $23x + 119$
how much money will each friend have after 6 weeks? 10 weeks?

enter the answer in each space provided. use numbers instead of words.

weeks | kai’s balance | emma’s balance
6 weeks | $ $ | $ $
10 weeks | $ $ | $ $

Explanation:

Step1: Substitute x=6 for Kai

$\text{Kai's 6-week balance} = 14(6) + 65$

Step2: Calculate Kai's 6-week total

$84 + 65 = 149$

Step3: Substitute x=10 for Kai

$\text{Kai's 10-week balance} = 14(10) + 65$

Step4: Calculate Kai's 10-week total

$140 + 65 = 205$

Step5: Substitute x=6 for Emma

$\text{Emma's 6-week balance} = 23(6) + 119$

Step6: Calculate Emma's 6-week total

$138 + 119 = 257$

Step7: Substitute x=10 for Emma

$\text{Emma's 10-week balance} = 23(10) + 119$

Step8: Calculate Emma's 10-week total

$230 + 119 = 349$

Answer:

Kai's Balance: $149 (6 Weeks), $205 (10 Weeks)
Emma's Balance: $257 (6 Weeks), $349 (10 Weeks)