JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.6/themes/ui-lightness/jquery-ui.css">
<ul id="sliders">
    <li>
        Adult: 
        <div id="adult" class="slider"></div>
        <span class="value">1</span>
    </li>
    <li>
        Child: 
        <div class="slider"></div>
        <span class="value">0</span>
    </li>
    <li>
        Infant
        <div class="slider"></div>
        <span class="value">0</span>
    </li>
</ul>

CSS

#sliders {
    width: 200px;
}

#sliders li {
    margin-bottom: 10px;
}

#sliders div {
    margin-bottom: 5px;
}

JavaScript

var sliders = $("#sliders .slider"), 
    smax = 400, 
    smin = 0;

sliders.each(function() {
    var value = parseInt($(this).text(), 10),
        availableTotal = smax;

    $(this).empty().slider({
        value: 0,
        min: (this.id === 'adult') ? 1 : smin,
        max: smax,
        range: 'min',
        step: 1,
        slide: function(event, ui) {
            // Update display to current value
            $(this).siblings().text(ui.value);

            // Get current total
            var total = 0;

            sliders.not(this).each(function() {
                total += $(this).slider("option", "value");
            });

            // Need to do this because apparently jQ UI
            // does not update value until this event completes
            total += ui.value;

            var max = availableTotal - total;

            // Update each slider
            sliders.not(this).each(function() {
                var t = $(this),
                    value = t.slider("option", "value");

                t.slider("option", "max", max + value)
                    .siblings().text(value + '/' + (max + value));
                t.slider('value', value);
            });
        }
    });
});