JSF 'total' variable something like c: set in JSTL

I don't like JSF, but I need to solve this problem, I work in "pure" JSF. So this is what I need, but I don't know how to do it with JSF:

<c:set var="total" value="0"></c:set>

<c:forEach var="item" items="${cart}">
    <tr>
        <td>${item.product.name}</td>
        <td>${item.product.price}</td>
        <td>${item.quantity}</td>
        <td>${item.product.price * item.quantity}</td>
    </tr>
    <c:set var="total" value="${total + item.product.price * item.quantity}"></c:set>
</c:forEach>

      

        
        
        
      

    

Now I can show the total with a simple $ {total} as you know.

My JSF table looks like this:

    <h:dataTable var="item" value="#{mbProducts.cart_items}" binding="#{mbProducts.tableComponent}" border="1">

        <h:column>
            <f:facet name="header">
                <h:outputText value="NAME" />
            </f:facet>

            <h:outputText value="#{item.product.name}" />
        </h:column>

        <h:column>
            <f:facet name="header">
                <h:outputText value="PRICE" />
            </f:facet>

            <h:outputText value="#{item.product.price}" />
        </h:column>

        <h:column>
            <f:facet name="header">
                <h:outputText value="NUM" />
            </f:facet>

            <h:outputText value="#{item.quantity}" />
        </h:column>

        <h:column>
            <f:facet name="header">
                <h:outputText value="TOTAL PRICE" />
            </f:facet>

            <h:outputText value="#{item.product.price * item.quantity}"/>
        </h:column>

    </h:dataTable>

      

        
        
        
      

    

But I don’t know how to set the shared variable to be incremented with each iteration? How to solve this ?!