Find the sister's savings first, then write the ratio in simplest form.<br><br>
[[model:questions/solutions/q10694.png]]<br><br>
&bull; Lance saved: \(\$45\)<br>
&bull; Total saved: \(\$100\)<br>
&bull; Sister saved: \(\$100 - \$45 = \$55\)<br>
&bull; Ratio Lance : Sister = 45 : 55<br>
&bull; Simplify: divide both by 5 → 9 : 11<br><br>
The ratio of Lance's savings to his sister's savings is 9 : 11.<br>
Check: 9 + 11 = 20 parts. Each part = $100 ÷ 20 = $5. Lance = 9x$5=$45, Sister = 11x$5=$55. ✓<br><br>
Final Answer: 9 : 11